What is the Least Common Multiple of 79468 and 79476?

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 79468 and 79476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79468 and 79476, than apply into the LCM equation.

GCF(79468,79476) = 4
LCM(79468,79476) = ( 79468 × 79476) / 4
LCM(79468,79476) = 6315798768 / 4
LCM(79468,79476) = 1578949692

Least Common Multiple (LCM) of 79468 and 79476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79468 and 79476. First we will calculate the prime factors of 79468 and 79476.

Prime Factorization of 79468

Prime Factorization of 79476

Now multiplying the highest exponent prime factors to calculate the LCM of 79468 and 79476.

LCM(79468,79476) = 2² × 19867¹ × 3¹ × 37¹ × 179¹
LCM(79468,79476) = 1578949692