What is the Least Common Multiple of 80732 and 80746?

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 80732 and 80746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80732 and 80746, than apply into the LCM equation.

GCF(80732,80746) = 2
LCM(80732,80746) = ( 80732 × 80746) / 2
LCM(80732,80746) = 6518786072 / 2
LCM(80732,80746) = 3259393036

Least Common Multiple (LCM) of 80732 and 80746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80732 and 80746. First we will calculate the prime factors of 80732 and 80746.

Prime Factorization of 80732

Prime Factorization of 80746

Now multiplying the highest exponent prime factors to calculate the LCM of 80732 and 80746.

LCM(80732,80746) = 2² × 20183¹ × 47¹ × 859¹
LCM(80732,80746) = 3259393036