Example: Finding the Least Common Multiple of 12 and 18 Using the Prime Factors Method
To find the least common multiple (LCM) of 12 and 18 using the prime factors method:
- Write each as a product of primes: and .
- List the primes and match them vertically: the first 2 and the first 3 are common to both.
- Bring down the numbers from each column: 2, 2, 3, and 3.
- Multiply the factors: .
Therefore, the least common multiple of 12 and 18 is 36.
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Finding the LCM of 12 and 18 Using Prime Factors
A logistics coordinator is using the Prime Factors Method to find the least common multiple (LCM) of two delivery schedules. Arrange the steps below in the correct order to successfully perform this method.
An operations manager is using the Prime Factors Method to find the smallest common multiple (LCM) of two different delivery schedules. After writing each schedule's length as a product of prime numbers and matching identical primes vertically in columns, what is the correct rule for selecting the factors to be multiplied?
A facility manager is using the Prime Factors Method to find the Least Common Multiple (LCM) for two equipment maintenance cycles of 12 hours and 15 hours. True or False: According to this method, if a column in the vertical alignment of prime factors contains a prime factor that appears in the factorization of only one of these cycles, that prime factor should be omitted and not brought down for the final multiplication.
A logistics coordinator is using the Prime Factors Method to find the least common multiple for two different delivery schedules. Match each technical term used in this method with its corresponding action.
Applying the Columns Rule in the Prime Factors Method
An operations manager is using the Prime Factors Method to determine the least common multiple of two machine maintenance schedules. After matching identical prime factors in vertical columns and bringing down one prime from each column, the final step to obtain the least common multiple is to ____ all the factors that were brought down.
Training Guide: Prime Factors Method for Least Common Multiple (LCM)
Example: Finding the Least Common Multiple of 12 and 18 Using the Prime Factors Method
Learn After
An inventory manager needs to coordinate the delivery of two components. Component A arrives every 12 days, and Component B arrives every 18 days. To determine the next day both will arrive simultaneously, the manager uses the prime factors method to find the least common multiple (LCM). Arrange the following steps in the correct order as they would be used to find the LCM of 12 and 18.
An inventory manager is coordinating two delivery schedules: Component A arrives every 12 days, and Component B arrives every 18 days. According to the prime factors method demonstrated in the course, what is the least common multiple (LCM) of 12 and 18?
A facility manager is using the prime factors method to determine when two maintenance cycles of 12 and 18 days will align. Based on the steps shown in the example, match each part of the calculation to its correct value or expression.
A logistics coordinator uses the prime factors method to determine when two recurring shipments, one every days and another every days, will next arrive on the same date. According to the example, after identifying the prime factors and calculating the product , the coordinator finds the least common multiple (LCM) to be ____.
A maintenance supervisor is coordinating the service schedules for two machines. Machine A is serviced every days, and Machine B is serviced every days. According to the prime factors method example, the supervisor determines that the next time both machines will require service on the same day is in days.
Inventory Audit Scheduling with Prime Factors
Conveyor Belt Maintenance Alignment