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What is the Least Common Multiple of 12536 and 12552?

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 12536 and 12552 is 19668984.

LCM(12536,12552) = 19668984

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Least Common Multiple of 12536 and 12552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12536 and 12552, than apply into the LCM equation.

GCF(12536,12552) = 8
LCM(12536,12552) = ( 12536 × 12552) / 8
LCM(12536,12552) = 157351872 / 8
LCM(12536,12552) = 19668984

Least Common Multiple (LCM) of 12536 and 12552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12536 and 12552. First we will calculate the prime factors of 12536 and 12552.

Prime Factorization of 12536

Prime factors of 12536 are 2, 1567. Prime factorization of 12536 in exponential form is:

12536 = 23 × 15671

Prime Factorization of 12552

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

12552 = 23 × 31 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 12536 and 12552.

LCM(12536,12552) = 23 × 15671 × 31 × 5231
LCM(12536,12552) = 19668984