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What is the Least Common Multiple of 12552 and 12572?

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 12552 and 12572 is 39450936.

LCM(12552,12572) = 39450936

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Least Common Multiple of 12552 and 12572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12552 and 12572, than apply into the LCM equation.

GCF(12552,12572) = 4
LCM(12552,12572) = ( 12552 × 12572) / 4
LCM(12552,12572) = 157803744 / 4
LCM(12552,12572) = 39450936

Least Common Multiple (LCM) of 12552 and 12572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12552 and 12572. First we will calculate the prime factors of 12552 and 12572.

Prime Factorization of 12552

Prime factors of 12552 are 2, 3, 523. Prime factorization of 12552 in exponential form is:

12552 = 23 × 31 × 5231

Prime Factorization of 12572

Prime factors of 12572 are 2, 7, 449. Prime factorization of 12572 in exponential form is:

12572 = 22 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 12552 and 12572.

LCM(12552,12572) = 23 × 31 × 5231 × 71 × 4491
LCM(12552,12572) = 39450936