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What is the Least Common Multiple of 12612 and 12624?

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 12612 and 12624 is 13267824.

LCM(12612,12624) = 13267824

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Least Common Multiple of 12612 and 12624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12612 and 12624, than apply into the LCM equation.

GCF(12612,12624) = 12
LCM(12612,12624) = ( 12612 × 12624) / 12
LCM(12612,12624) = 159213888 / 12
LCM(12612,12624) = 13267824

Least Common Multiple (LCM) of 12612 and 12624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12612 and 12624. First we will calculate the prime factors of 12612 and 12624.

Prime Factorization of 12612

Prime factors of 12612 are 2, 3, 1051. Prime factorization of 12612 in exponential form is:

12612 = 22 × 31 × 10511

Prime Factorization of 12624

Prime factors of 12624 are 2, 3, 263. Prime factorization of 12624 in exponential form is:

12624 = 24 × 31 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 12612 and 12624.

LCM(12612,12624) = 24 × 31 × 10511 × 2631
LCM(12612,12624) = 13267824