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What is the Least Common Multiple of 64689 and 64700?

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 64689 and 64700 is 4185378300.

LCM(64689,64700) = 4185378300

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Least Common Multiple of 64689 and 64700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64689 and 64700, than apply into the LCM equation.

GCF(64689,64700) = 1
LCM(64689,64700) = ( 64689 × 64700) / 1
LCM(64689,64700) = 4185378300 / 1
LCM(64689,64700) = 4185378300

Least Common Multiple (LCM) of 64689 and 64700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64689 and 64700. First we will calculate the prime factors of 64689 and 64700.

Prime Factorization of 64689

Prime factors of 64689 are 3, 21563. Prime factorization of 64689 in exponential form is:

64689 = 31 × 215631

Prime Factorization of 64700

Prime factors of 64700 are 2, 5, 647. Prime factorization of 64700 in exponential form is:

64700 = 22 × 52 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 64689 and 64700.

LCM(64689,64700) = 31 × 215631 × 22 × 52 × 6471
LCM(64689,64700) = 4185378300