What is the Least Common Multiple of 79416 and 79434?

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 79416 and 79434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79416 and 79434, than apply into the LCM equation.

GCF(79416,79434) = 18
LCM(79416,79434) = ( 79416 × 79434) / 18
LCM(79416,79434) = 6308330544 / 18
LCM(79416,79434) = 350462808

Least Common Multiple (LCM) of 79416 and 79434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79416 and 79434. First we will calculate the prime factors of 79416 and 79434.

Prime Factorization of 79416

Prime Factorization of 79434

Now multiplying the highest exponent prime factors to calculate the LCM of 79416 and 79434.

LCM(79416,79434) = 2³ × 3³ × 1103¹ × 1471¹
LCM(79416,79434) = 350462808