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Concept explainers
The least common multiple (LCM) of 9 and 12.
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Answer to Problem 71CCR
Explanation of Solution
Given:
The pair of numbers, 9 and 12.
Concept Used:
LCM(least common multiple) of a list of numbers can be found using following steps,
- Write prime factorization of each number
- Find the product ofcommon factors that appear in each number and the remaining prime factors from each number that are not common.
Calculation:
In order to find the least common multiple of the given number, first find the prime factorization of each number as shown below,
Here observe that the factor 3 is common andoccur once in each number. Apart from this the remaining factor from both numbers are 3, 2 and 2. So, the least common multiple of the numbers would be the product of common factor and the remaining factors as shown below:
Thus, the least common multiple (LCM) of the given numbers is
Chapter 1 Solutions
Glencoe Math Accelerated, Student Edition
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