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What is the Least Common Multiple of 12619 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 12619 and 12624 is 159302256.

LCM(12619,12624) = 159302256

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Least Common Multiple of 12619 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 12619 and 12624, than apply into the LCM equation.

GCF(12619,12624) = 1
LCM(12619,12624) = ( 12619 × 12624) / 1
LCM(12619,12624) = 159302256 / 1
LCM(12619,12624) = 159302256

Least Common Multiple (LCM) of 12619 and 12624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12619 and 12624. First we will calculate the prime factors of 12619 and 12624.

Prime Factorization of 12619

Prime factors of 12619 are 12619. Prime factorization of 12619 in exponential form is:

12619 = 126191

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 12619 and 12624.

LCM(12619,12624) = 126191 × 24 × 31 × 2631
LCM(12619,12624) = 159302256