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What is the Least Common Multiple of 64813 and 64828?

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 64813 and 64828 is 4201697164.

LCM(64813,64828) = 4201697164

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Least Common Multiple of 64813 and 64828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64813 and 64828, than apply into the LCM equation.

GCF(64813,64828) = 1
LCM(64813,64828) = ( 64813 × 64828) / 1
LCM(64813,64828) = 4201697164 / 1
LCM(64813,64828) = 4201697164

Least Common Multiple (LCM) of 64813 and 64828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64813 and 64828. First we will calculate the prime factors of 64813 and 64828.

Prime Factorization of 64813

Prime factors of 64813 are 7, 47, 197. Prime factorization of 64813 in exponential form is:

64813 = 71 × 471 × 1971

Prime Factorization of 64828

Prime factors of 64828 are 2, 19, 853. Prime factorization of 64828 in exponential form is:

64828 = 22 × 191 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 64813 and 64828.

LCM(64813,64828) = 71 × 471 × 1971 × 22 × 191 × 8531
LCM(64813,64828) = 4201697164