What is the Least Common Multiple of 79704 and 79722?

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 of 79704 and 79722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79704 and 79722, than apply into the LCM equation.

GCF(79704,79722) = 18
LCM(79704,79722) = ( 79704 × 79722) / 18
LCM(79704,79722) = 6354162288 / 18
LCM(79704,79722) = 353009016

Least Common Multiple (LCM) of 79704 and 79722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79704 and 79722. First we will calculate the prime factors of 79704 and 79722.

Prime Factorization of 79704

Prime Factorization of 79722

Now multiplying the highest exponent prime factors to calculate the LCM of 79704 and 79722.

LCM(79704,79722) = 2³ × 3⁵ × 41¹ × 43¹ × 103¹
LCM(79704,79722) = 353009016