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What is the Least Common Multiple of 8563 and 8572?

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 8563 and 8572 is 73402036.

LCM(8563,8572) = 73402036

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Least Common Multiple of 8563 and 8572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8563 and 8572, than apply into the LCM equation.

GCF(8563,8572) = 1
LCM(8563,8572) = ( 8563 × 8572) / 1
LCM(8563,8572) = 73402036 / 1
LCM(8563,8572) = 73402036

Least Common Multiple (LCM) of 8563 and 8572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8563 and 8572. First we will calculate the prime factors of 8563 and 8572.

Prime Factorization of 8563

Prime factors of 8563 are 8563. Prime factorization of 8563 in exponential form is:

8563 = 85631

Prime Factorization of 8572

Prime factors of 8572 are 2, 2143. Prime factorization of 8572 in exponential form is:

8572 = 22 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 8563 and 8572.

LCM(8563,8572) = 85631 × 22 × 21431
LCM(8563,8572) = 73402036