What is the Least Common Multiple of 80748 and 80752?

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 80748 and 80752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80748 and 80752, than apply into the LCM equation.

GCF(80748,80752) = 4
LCM(80748,80752) = ( 80748 × 80752) / 4
LCM(80748,80752) = 6520562496 / 4
LCM(80748,80752) = 1630140624

Least Common Multiple (LCM) of 80748 and 80752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80748 and 80752. First we will calculate the prime factors of 80748 and 80752.

Prime Factorization of 80748

Prime Factorization of 80752

Now multiplying the highest exponent prime factors to calculate the LCM of 80748 and 80752.

LCM(80748,80752) = 2⁴ × 3² × 2243¹ × 7² × 103¹
LCM(80748,80752) = 1630140624