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What is the Least Common Multiple of 64712 and 64720?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64712 and 64720 is 523520080.

LCM(64712,64720) = 523520080

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Least Common Multiple of 64712 and 64720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64712 and 64720, than apply into the LCM equation.

GCF(64712,64720) = 8
LCM(64712,64720) = ( 64712 × 64720) / 8
LCM(64712,64720) = 4188160640 / 8
LCM(64712,64720) = 523520080

Least Common Multiple (LCM) of 64712 and 64720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64712 and 64720. First we will calculate the prime factors of 64712 and 64720.

Prime Factorization of 64712

Prime factors of 64712 are 2, 8089. Prime factorization of 64712 in exponential form is:

64712 = 23 × 80891

Prime Factorization of 64720

Prime factors of 64720 are 2, 5, 809. Prime factorization of 64720 in exponential form is:

64720 = 24 × 51 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 64712 and 64720.

LCM(64712,64720) = 24 × 80891 × 51 × 8091
LCM(64712,64720) = 523520080