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What is the Least Common Multiple of 64712 and 64727?

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 64727 is 4188613624.

LCM(64712,64727) = 4188613624

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Least Common Multiple of 64712 and 64727 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 64727, than apply into the LCM equation.

GCF(64712,64727) = 1
LCM(64712,64727) = ( 64712 × 64727) / 1
LCM(64712,64727) = 4188613624 / 1
LCM(64712,64727) = 4188613624

Least Common Multiple (LCM) of 64712 and 64727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64712 and 64727. First we will calculate the prime factors of 64712 and 64727.

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 64727

Prime factors of 64727 are 13, 383. Prime factorization of 64727 in exponential form is:

64727 = 132 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 64712 and 64727.

LCM(64712,64727) = 23 × 80891 × 132 × 3831
LCM(64712,64727) = 4188613624