What is the Least Common Multiple of 74665 and 74675?

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 74665 and 74675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74665 and 74675, than apply into the LCM equation.

GCF(74665,74675) = 5
LCM(74665,74675) = ( 74665 × 74675) / 5
LCM(74665,74675) = 5575608875 / 5
LCM(74665,74675) = 1115121775

Least Common Multiple (LCM) of 74665 and 74675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74665 and 74675. First we will calculate the prime factors of 74665 and 74675.

Prime Factorization of 74665

Prime Factorization of 74675

Now multiplying the highest exponent prime factors to calculate the LCM of 74665 and 74675.

LCM(74665,74675) = 5² × 109¹ × 137¹ × 29¹ × 103¹
LCM(74665,74675) = 1115121775