What is the Least Common Multiple of 80752 and 80764?

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 80752 and 80764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80752 and 80764, than apply into the LCM equation.

GCF(80752,80764) = 4
LCM(80752,80764) = ( 80752 × 80764) / 4
LCM(80752,80764) = 6521854528 / 4
LCM(80752,80764) = 1630463632

Least Common Multiple (LCM) of 80752 and 80764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80752 and 80764. First we will calculate the prime factors of 80752 and 80764.

Prime Factorization of 80752

Prime Factorization of 80764

Now multiplying the highest exponent prime factors to calculate the LCM of 80752 and 80764.

LCM(80752,80764) = 2⁴ × 7² × 103¹ × 61¹ × 331¹
LCM(80752,80764) = 1630463632