What is the Least Common Multiple of 80726 and 80732?

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 80726 and 80732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80726 and 80732, than apply into the LCM equation.

GCF(80726,80732) = 2
LCM(80726,80732) = ( 80726 × 80732) / 2
LCM(80726,80732) = 6517171432 / 2
LCM(80726,80732) = 3258585716

Least Common Multiple (LCM) of 80726 and 80732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80726 and 80732. First we will calculate the prime factors of 80726 and 80732.

Prime Factorization of 80726

Prime Factorization of 80732

Now multiplying the highest exponent prime factors to calculate the LCM of 80726 and 80732.

LCM(80726,80732) = 2² × 181¹ × 223¹ × 20183¹
LCM(80726,80732) = 3258585716