What is the Least Common Multiple of 80595 and 80612?

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 80595 and 80612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80595 and 80612, than apply into the LCM equation.

GCF(80595,80612) = 1
LCM(80595,80612) = ( 80595 × 80612) / 1
LCM(80595,80612) = 6496924140 / 1
LCM(80595,80612) = 6496924140

Least Common Multiple (LCM) of 80595 and 80612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80595 and 80612. First we will calculate the prime factors of 80595 and 80612.

Prime Factorization of 80595

Prime Factorization of 80612

Now multiplying the highest exponent prime factors to calculate the LCM of 80595 and 80612.

LCM(80595,80612) = 3⁴ × 5¹ × 199¹ × 2² × 7¹ × 2879¹
LCM(80595,80612) = 6496924140