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What is the Least Common Multiple of 8557 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 8557 and 8572 is 73350604.

LCM(8557,8572) = 73350604

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Least Common Multiple of 8557 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 8557 and 8572, than apply into the LCM equation.

GCF(8557,8572) = 1
LCM(8557,8572) = ( 8557 × 8572) / 1
LCM(8557,8572) = 73350604 / 1
LCM(8557,8572) = 73350604

Least Common Multiple (LCM) of 8557 and 8572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8557 and 8572. First we will calculate the prime factors of 8557 and 8572.

Prime Factorization of 8557

Prime factors of 8557 are 43, 199. Prime factorization of 8557 in exponential form is:

8557 = 431 × 1991

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 8557 and 8572.

LCM(8557,8572) = 431 × 1991 × 22 × 21431
LCM(8557,8572) = 73350604