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What is the Least Common Multiple of 64864 and 64877?

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 64864 and 64877 is 4208181728.

LCM(64864,64877) = 4208181728

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Least Common Multiple of 64864 and 64877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64864 and 64877, than apply into the LCM equation.

GCF(64864,64877) = 1
LCM(64864,64877) = ( 64864 × 64877) / 1
LCM(64864,64877) = 4208181728 / 1
LCM(64864,64877) = 4208181728

Least Common Multiple (LCM) of 64864 and 64877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64864 and 64877. First we will calculate the prime factors of 64864 and 64877.

Prime Factorization of 64864

Prime factors of 64864 are 2, 2027. Prime factorization of 64864 in exponential form is:

64864 = 25 × 20271

Prime Factorization of 64877

Prime factors of 64877 are 64877. Prime factorization of 64877 in exponential form is:

64877 = 648771

Now multiplying the highest exponent prime factors to calculate the LCM of 64864 and 64877.

LCM(64864,64877) = 25 × 20271 × 648771
LCM(64864,64877) = 4208181728