What is the Least Common Multiple of 79410 and 79428?

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 79410 and 79428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79410 and 79428, than apply into the LCM equation.

GCF(79410,79428) = 6
LCM(79410,79428) = ( 79410 × 79428) / 6
LCM(79410,79428) = 6307377480 / 6
LCM(79410,79428) = 1051229580

Least Common Multiple (LCM) of 79410 and 79428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79410 and 79428. First we will calculate the prime factors of 79410 and 79428.

Prime Factorization of 79410

Prime Factorization of 79428

Now multiplying the highest exponent prime factors to calculate the LCM of 79410 and 79428.

LCM(79410,79428) = 2² × 3¹ × 5¹ × 2647¹ × 6619¹
LCM(79410,79428) = 1051229580