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What is the Least Common Multiple of 64862 and 64876?

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 64862 and 64876 is 300570508.

LCM(64862,64876) = 300570508

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Least Common Multiple of 64862 and 64876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64862 and 64876, than apply into the LCM equation.

GCF(64862,64876) = 14
LCM(64862,64876) = ( 64862 × 64876) / 14
LCM(64862,64876) = 4207987112 / 14
LCM(64862,64876) = 300570508

Least Common Multiple (LCM) of 64862 and 64876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64862 and 64876. First we will calculate the prime factors of 64862 and 64876.

Prime Factorization of 64862

Prime factors of 64862 are 2, 7, 41, 113. Prime factorization of 64862 in exponential form is:

64862 = 21 × 71 × 411 × 1131

Prime Factorization of 64876

Prime factors of 64876 are 2, 7, 331. Prime factorization of 64876 in exponential form is:

64876 = 22 × 72 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 64862 and 64876.

LCM(64862,64876) = 22 × 72 × 411 × 1131 × 3311
LCM(64862,64876) = 300570508