GCF and LCM Calculator Logo

What is the Least Common Multiple of 79717 and 79737?

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 79737 is 6356394429.

LCM(79717,79737) = 6356394429

LCM Calculator and
and

Least Common Multiple of 79717 and 79737 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 79737, than apply into the LCM equation.

GCF(79717,79737) = 1
LCM(79717,79737) = ( 79717 × 79737) / 1
LCM(79717,79737) = 6356394429 / 1
LCM(79717,79737) = 6356394429

Least Common Multiple (LCM) of 79717 and 79737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79717 and 79737. First we will calculate the prime factors of 79717 and 79737.

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 79737

Prime factors of 79737 are 3, 7, 3797. Prime factorization of 79737 in exponential form is:

79737 = 31 × 71 × 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 79717 and 79737.

LCM(79717,79737) = 111 × 72471 × 31 × 71 × 37971
LCM(79717,79737) = 6356394429