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What is the Least Common Multiple of 64623 and 64634?

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 64634 is 4176842982.

LCM(64623,64634) = 4176842982

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Least Common Multiple of 64623 and 64634 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 64634, than apply into the LCM equation.

GCF(64623,64634) = 1
LCM(64623,64634) = ( 64623 × 64634) / 1
LCM(64623,64634) = 4176842982 / 1
LCM(64623,64634) = 4176842982

Least Common Multiple (LCM) of 64623 and 64634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64623 and 64634. First we will calculate the prime factors of 64623 and 64634.

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 64634

Prime factors of 64634 are 2, 17, 1901. Prime factorization of 64634 in exponential form is:

64634 = 21 × 171 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 64623 and 64634.

LCM(64623,64634) = 31 × 131 × 16571 × 21 × 171 × 19011
LCM(64623,64634) = 4176842982