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What is the Least Common Multiple of 64574 and 64587?

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 64574 and 64587 is 4170640938.

LCM(64574,64587) = 4170640938

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Least Common Multiple of 64574 and 64587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64574 and 64587, than apply into the LCM equation.

GCF(64574,64587) = 1
LCM(64574,64587) = ( 64574 × 64587) / 1
LCM(64574,64587) = 4170640938 / 1
LCM(64574,64587) = 4170640938

Least Common Multiple (LCM) of 64574 and 64587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64574 and 64587. First we will calculate the prime factors of 64574 and 64587.

Prime Factorization of 64574

Prime factors of 64574 are 2, 83, 389. Prime factorization of 64574 in exponential form is:

64574 = 21 × 831 × 3891

Prime Factorization of 64587

Prime factors of 64587 are 3, 21529. Prime factorization of 64587 in exponential form is:

64587 = 31 × 215291

Now multiplying the highest exponent prime factors to calculate the LCM of 64574 and 64587.

LCM(64574,64587) = 21 × 831 × 3891 × 31 × 215291
LCM(64574,64587) = 4170640938