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What is the Least Common Multiple of 79637 and 79655?

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 79655 is 6343485235.

LCM(79637,79655) = 6343485235

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Least Common Multiple of 79637 and 79655 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 79655, than apply into the LCM equation.

GCF(79637,79655) = 1
LCM(79637,79655) = ( 79637 × 79655) / 1
LCM(79637,79655) = 6343485235 / 1
LCM(79637,79655) = 6343485235

Least Common Multiple (LCM) of 79637 and 79655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79637 and 79655. First we will calculate the prime factors of 79637 and 79655.

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 79655

Prime factors of 79655 are 5, 89, 179. Prime factorization of 79655 in exponential form is:

79655 = 51 × 891 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 79637 and 79655.

LCM(79637,79655) = 971 × 8211 × 51 × 891 × 1791
LCM(79637,79655) = 6343485235