Question 825146
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Hi, there--

Problem:
Find the least common multiple (lcm) of 32 and 14

Solution:
The least common multiple, or LCM, is a number that's useful in solving many math problems. 
One way to find the least common multiple of two numbers is to first list the prime factors of 
each number.

32 = 2 × 2 × 2 × 2 × 2 
14 = 2 × 7

Then multiply each factor the greatest number of times it occurs in either number. If the same 
factor occurs more than once in both numbers, you multiply the factor the greatest number of 
times it occurs.

Then multiply each factor the greatest number of times it occurs in either number. If the same 
factor occurs more than once in both numbers, you multiply the factor the greatest number of 
times it occurs.

2: five occurrences
7: one occurrences 

2 × 2 × 2 × 2 × 2 × 7 = 224 <— LCM

After you've calculated a least common multiple, always check to be sure your answer can be 
divided evenly by both numbers.

224 / 32 = 7
224 / 14 = 16

That's It.

Hope this helps!
Mrs. Figgy
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