What is the Least Common Multiple of 79392 and 79410?

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 79392 and 79410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79392 and 79410, than apply into the LCM equation.

GCF(79392,79410) = 6
LCM(79392,79410) = ( 79392 × 79410) / 6
LCM(79392,79410) = 6304518720 / 6
LCM(79392,79410) = 1050753120

Least Common Multiple (LCM) of 79392 and 79410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79392 and 79410. First we will calculate the prime factors of 79392 and 79410.

Prime Factorization of 79392

Prime Factorization of 79410

Now multiplying the highest exponent prime factors to calculate the LCM of 79392 and 79410.

LCM(79392,79410) = 2⁵ × 3¹ × 827¹ × 5¹ × 2647¹
LCM(79392,79410) = 1050753120