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What is the Least Common Multiple of 64863 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 64863 and 64868 is 4207533084.

LCM(64863,64868) = 4207533084

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Least Common Multiple of 64863 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 64863 and 64868, than apply into the LCM equation.

GCF(64863,64868) = 1
LCM(64863,64868) = ( 64863 × 64868) / 1
LCM(64863,64868) = 4207533084 / 1
LCM(64863,64868) = 4207533084

Least Common Multiple (LCM) of 64863 and 64868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64863 and 64868. First we will calculate the prime factors of 64863 and 64868.

Prime Factorization of 64863

Prime factors of 64863 are 3, 7207. Prime factorization of 64863 in exponential form is:

64863 = 32 × 72071

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 64863 and 64868.

LCM(64863,64868) = 32 × 72071 × 22 × 162171
LCM(64863,64868) = 4207533084