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What is the Least Common Multiple of 79697 and 79714?

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 79697 and 79714 is 6352966658.

LCM(79697,79714) = 6352966658

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Least Common Multiple of 79697 and 79714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79697 and 79714, than apply into the LCM equation.

GCF(79697,79714) = 1
LCM(79697,79714) = ( 79697 × 79714) / 1
LCM(79697,79714) = 6352966658 / 1
LCM(79697,79714) = 6352966658

Least Common Multiple (LCM) of 79697 and 79714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79697 and 79714. First we will calculate the prime factors of 79697 and 79714.

Prime Factorization of 79697

Prime factors of 79697 are 79697. Prime factorization of 79697 in exponential form is:

79697 = 796971

Prime Factorization of 79714

Prime factors of 79714 are 2, 39857. Prime factorization of 79714 in exponential form is:

79714 = 21 × 398571

Now multiplying the highest exponent prime factors to calculate the LCM of 79697 and 79714.

LCM(79697,79714) = 796971 × 21 × 398571
LCM(79697,79714) = 6352966658