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What is the Least Common Multiple of 64856 and 64868?

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 64856 and 64868 is 1051769752.

LCM(64856,64868) = 1051769752

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Least Common Multiple of 64856 and 64868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64856 and 64868, than apply into the LCM equation.

GCF(64856,64868) = 4
LCM(64856,64868) = ( 64856 × 64868) / 4
LCM(64856,64868) = 4207079008 / 4
LCM(64856,64868) = 1051769752

Least Common Multiple (LCM) of 64856 and 64868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64856 and 64868. First we will calculate the prime factors of 64856 and 64868.

Prime Factorization of 64856

Prime factors of 64856 are 2, 11, 67. Prime factorization of 64856 in exponential form is:

64856 = 23 × 112 × 671

Prime Factorization of 64868

Prime factors of 64868 are 2, 16217. Prime factorization of 64868 in exponential form is:

64868 = 22 × 162171

Now multiplying the highest exponent prime factors to calculate the LCM of 64856 and 64868.

LCM(64856,64868) = 23 × 112 × 671 × 162171
LCM(64856,64868) = 1051769752