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What is the Least Common Multiple of 79241 and 79251?

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 79241 and 79251 is 6279928491.

LCM(79241,79251) = 6279928491

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Least Common Multiple of 79241 and 79251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79241 and 79251, than apply into the LCM equation.

GCF(79241,79251) = 1
LCM(79241,79251) = ( 79241 × 79251) / 1
LCM(79241,79251) = 6279928491 / 1
LCM(79241,79251) = 6279928491

Least Common Multiple (LCM) of 79241 and 79251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79241 and 79251. First we will calculate the prime factors of 79241 and 79251.

Prime Factorization of 79241

Prime factors of 79241 are 79241. Prime factorization of 79241 in exponential form is:

79241 = 792411

Prime Factorization of 79251

Prime factors of 79251 are 3, 26417. Prime factorization of 79251 in exponential form is:

79251 = 31 × 264171

Now multiplying the highest exponent prime factors to calculate the LCM of 79241 and 79251.

LCM(79241,79251) = 792411 × 31 × 264171
LCM(79241,79251) = 6279928491