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What is the Least Common Multiple of 64623 and 64631?

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 64623 and 64631 is 4176649113.

LCM(64623,64631) = 4176649113

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Least Common Multiple of 64623 and 64631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64623 and 64631, than apply into the LCM equation.

GCF(64623,64631) = 1
LCM(64623,64631) = ( 64623 × 64631) / 1
LCM(64623,64631) = 4176649113 / 1
LCM(64623,64631) = 4176649113

Least Common Multiple (LCM) of 64623 and 64631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64623 and 64631. First we will calculate the prime factors of 64623 and 64631.

Prime Factorization of 64623

Prime factors of 64623 are 3, 13, 1657. Prime factorization of 64623 in exponential form is:

64623 = 31 × 131 × 16571

Prime Factorization of 64631

Prime factors of 64631 are 7, 1319. Prime factorization of 64631 in exponential form is:

64631 = 72 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 64623 and 64631.

LCM(64623,64631) = 31 × 131 × 16571 × 72 × 13191
LCM(64623,64631) = 4176649113