What is the Least Common Multiple of 79609 and 79616?

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 79609 and 79616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79609 and 79616, than apply into the LCM equation.

GCF(79609,79616) = 1
LCM(79609,79616) = ( 79609 × 79616) / 1
LCM(79609,79616) = 6338150144 / 1
LCM(79609,79616) = 6338150144

Least Common Multiple (LCM) of 79609 and 79616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79609 and 79616. First we will calculate the prime factors of 79609 and 79616.

Prime Factorization of 79609

Prime Factorization of 79616

Now multiplying the highest exponent prime factors to calculate the LCM of 79609 and 79616.

LCM(79609,79616) = 79609¹ × 2⁸ × 311¹
LCM(79609,79616) = 6338150144