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What is the Least Common Multiple of 79637 and 79656?

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 79637 and 79656 is 6343564872.

LCM(79637,79656) = 6343564872

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Least Common Multiple of 79637 and 79656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79637 and 79656, than apply into the LCM equation.

GCF(79637,79656) = 1
LCM(79637,79656) = ( 79637 × 79656) / 1
LCM(79637,79656) = 6343564872 / 1
LCM(79637,79656) = 6343564872

Least Common Multiple (LCM) of 79637 and 79656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79637 and 79656. First we will calculate the prime factors of 79637 and 79656.

Prime Factorization of 79637

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

79637 = 971 × 8211

Prime Factorization of 79656

Prime factors of 79656 are 2, 3, 3319. Prime factorization of 79656 in exponential form is:

79656 = 23 × 31 × 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 79637 and 79656.

LCM(79637,79656) = 971 × 8211 × 23 × 31 × 33191
LCM(79637,79656) = 6343564872