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What is the Least Common Multiple of 79717 and 79726?

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 79717 and 79726 is 6355517542.

LCM(79717,79726) = 6355517542

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Least Common Multiple of 79717 and 79726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79717 and 79726, than apply into the LCM equation.

GCF(79717,79726) = 1
LCM(79717,79726) = ( 79717 × 79726) / 1
LCM(79717,79726) = 6355517542 / 1
LCM(79717,79726) = 6355517542

Least Common Multiple (LCM) of 79717 and 79726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79717 and 79726. First we will calculate the prime factors of 79717 and 79726.

Prime Factorization of 79717

Prime factors of 79717 are 11, 7247. Prime factorization of 79717 in exponential form is:

79717 = 111 × 72471

Prime Factorization of 79726

Prime factors of 79726 are 2, 39863. Prime factorization of 79726 in exponential form is:

79726 = 21 × 398631

Now multiplying the highest exponent prime factors to calculate the LCM of 79717 and 79726.

LCM(79717,79726) = 111 × 72471 × 21 × 398631
LCM(79717,79726) = 6355517542