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What is the Least Common Multiple of 79271 and 79276?

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 79271 and 79276 is 6284287796.

LCM(79271,79276) = 6284287796

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Least Common Multiple of 79271 and 79276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79271 and 79276, than apply into the LCM equation.

GCF(79271,79276) = 1
LCM(79271,79276) = ( 79271 × 79276) / 1
LCM(79271,79276) = 6284287796 / 1
LCM(79271,79276) = 6284287796

Least Common Multiple (LCM) of 79271 and 79276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79271 and 79276. First we will calculate the prime factors of 79271 and 79276.

Prime Factorization of 79271

Prime factors of 79271 are 17, 4663. Prime factorization of 79271 in exponential form is:

79271 = 171 × 46631

Prime Factorization of 79276

Prime factors of 79276 are 2, 19819. Prime factorization of 79276 in exponential form is:

79276 = 22 × 198191

Now multiplying the highest exponent prime factors to calculate the LCM of 79271 and 79276.

LCM(79271,79276) = 171 × 46631 × 22 × 198191
LCM(79271,79276) = 6284287796