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Mathematics
Cameron Ingram
27 May, 03:17
Find the lcm of 21 and 9
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Krista Nguyen
27 May, 04:38
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The answer of lcm is 63
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Macy
27 May, 06:37
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List out the prime factorization of each number
21 = 3*7
9 = 3*3
We see that the unique prime factors are: 3, 7
The factor 3 happens at most two times, while 7 only shows up one time. Multiply this out: 3*3*7 = 9*7 = 63
Therefore the LCM is 63
As a check, list out the multiples of each number
multiples of 21 are: 21, 42, 63, 84, 105, 126, ...
multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, ...
we see that 63 shows up in the list and it is the smallest number in common between the two lists; confirming we have the proper LCM of 63
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