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Q: What is the LCM of 15 and 20 using prime factorization?

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It is 105 bacause 3*5*7 = 105

3 x 5 = 15 3 x 7 = 21 3 x 5 x 7 = 105, the LCM

10 = 2*515 = 3*5 HCF = 5 LCM = 5*2*3 = 30

No prime power exists since there are no duplicate prime numbers in the prime factorization.

No prime power exists since there are no duplicate prime numbers in the prime factorization.

3 x 5 = 15 2 x 3 x 5 = 30 2 x 3 x 5 = 30, the LCM

12=22x3 15=3x5 So the LCM of 2, 12 and 15 is 22x3x5 = 60

2 x 2 x 3 = 12 3 x 5 = 15 2 x 2 x 3 x 5 = 60, the LCM

3 x 5 = 15 2 x 3 x 3 = 18 2 x 3 x 3 x 5 = 90, the LCM

3 x 5 = 15 3 x 7 = 21 Combine the factors, eliminating duplicates. 3 x 5 x 7 = 105, the LCM

2 x 2 x 3 = 12 3 x 5 = 15 2 x 2 x 3 x 5 = 60, the LCM

prime factorization of each: 2x3 , 3x5, 2x2x5 so LCM = 2x2x3x5 = 60

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