What is the Least Common Multiple of 79665 and 79675?

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 79665 and 79675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79665 and 79675, than apply into the LCM equation.

GCF(79665,79675) = 5
LCM(79665,79675) = ( 79665 × 79675) / 5
LCM(79665,79675) = 6347308875 / 5
LCM(79665,79675) = 1269461775

Least Common Multiple (LCM) of 79665 and 79675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79665 and 79675. First we will calculate the prime factors of 79665 and 79675.

Prime Factorization of 79665

Prime Factorization of 79675

Now multiplying the highest exponent prime factors to calculate the LCM of 79665 and 79675.

LCM(79665,79675) = 3¹ × 5² × 47¹ × 113¹ × 3187¹
LCM(79665,79675) = 1269461775