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What is the Least Common Multiple of 64857 and 64872?

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 64857 and 64872 is 1402467768.

LCM(64857,64872) = 1402467768

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Least Common Multiple of 64857 and 64872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64857 and 64872, than apply into the LCM equation.

GCF(64857,64872) = 3
LCM(64857,64872) = ( 64857 × 64872) / 3
LCM(64857,64872) = 4207403304 / 3
LCM(64857,64872) = 1402467768

Least Common Multiple (LCM) of 64857 and 64872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64857 and 64872. First we will calculate the prime factors of 64857 and 64872.

Prime Factorization of 64857

Prime factors of 64857 are 3, 13, 1663. Prime factorization of 64857 in exponential form is:

64857 = 31 × 131 × 16631

Prime Factorization of 64872

Prime factors of 64872 are 2, 3, 17, 53. Prime factorization of 64872 in exponential form is:

64872 = 23 × 32 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 64857 and 64872.

LCM(64857,64872) = 32 × 131 × 16631 × 23 × 171 × 531
LCM(64857,64872) = 1402467768