What is the Least Common Multiple of 79660 and 79674?

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 79660 and 79674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79660 and 79674, than apply into the LCM equation.

GCF(79660,79674) = 14
LCM(79660,79674) = ( 79660 × 79674) / 14
LCM(79660,79674) = 6346830840 / 14
LCM(79660,79674) = 453345060

Least Common Multiple (LCM) of 79660 and 79674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79660 and 79674. First we will calculate the prime factors of 79660 and 79674.

Prime Factorization of 79660

Prime Factorization of 79674

Now multiplying the highest exponent prime factors to calculate the LCM of 79660 and 79674.

LCM(79660,79674) = 2² × 5¹ × 7² × 569¹ × 3¹ × 271¹
LCM(79660,79674) = 453345060