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What is the Least Common Multiple of 64657 and 64676?

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 64657 and 64676 is 220092428.

LCM(64657,64676) = 220092428

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Least Common Multiple of 64657 and 64676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64657 and 64676, than apply into the LCM equation.

GCF(64657,64676) = 19
LCM(64657,64676) = ( 64657 × 64676) / 19
LCM(64657,64676) = 4181756132 / 19
LCM(64657,64676) = 220092428

Least Common Multiple (LCM) of 64657 and 64676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64657 and 64676. First we will calculate the prime factors of 64657 and 64676.

Prime Factorization of 64657

Prime factors of 64657 are 19, 41, 83. Prime factorization of 64657 in exponential form is:

64657 = 191 × 411 × 831

Prime Factorization of 64676

Prime factors of 64676 are 2, 19, 23, 37. Prime factorization of 64676 in exponential form is:

64676 = 22 × 191 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 64657 and 64676.

LCM(64657,64676) = 191 × 411 × 831 × 22 × 231 × 371
LCM(64657,64676) = 220092428