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What is the Least Common Multiple of 10557 and 10572?

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 10557 and 10572 is 37202868.

LCM(10557,10572) = 37202868

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Least Common Multiple of 10557 and 10572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10557 and 10572, than apply into the LCM equation.

GCF(10557,10572) = 3
LCM(10557,10572) = ( 10557 × 10572) / 3
LCM(10557,10572) = 111608604 / 3
LCM(10557,10572) = 37202868

Least Common Multiple (LCM) of 10557 and 10572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10557 and 10572. First we will calculate the prime factors of 10557 and 10572.

Prime Factorization of 10557

Prime factors of 10557 are 3, 17, 23. Prime factorization of 10557 in exponential form is:

10557 = 33 × 171 × 231

Prime Factorization of 10572

Prime factors of 10572 are 2, 3, 881. Prime factorization of 10572 in exponential form is:

10572 = 22 × 31 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 10557 and 10572.

LCM(10557,10572) = 33 × 171 × 231 × 22 × 8811
LCM(10557,10572) = 37202868