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What is the Least Common Multiple of 79624 and 79637?

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 79624 and 79637 is 6341016488.

LCM(79624,79637) = 6341016488

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Least Common Multiple of 79624 and 79637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79624 and 79637, than apply into the LCM equation.

GCF(79624,79637) = 1
LCM(79624,79637) = ( 79624 × 79637) / 1
LCM(79624,79637) = 6341016488 / 1
LCM(79624,79637) = 6341016488

Least Common Multiple (LCM) of 79624 and 79637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79624 and 79637. First we will calculate the prime factors of 79624 and 79637.

Prime Factorization of 79624

Prime factors of 79624 are 2, 37, 269. Prime factorization of 79624 in exponential form is:

79624 = 23 × 371 × 2691

Prime Factorization of 79637

Prime factors of 79637 are 97, 821. Prime factorization of 79637 in exponential form is:

79637 = 971 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 79624 and 79637.

LCM(79624,79637) = 23 × 371 × 2691 × 971 × 8211
LCM(79624,79637) = 6341016488