What is the Least Common Multiple of 80752 and 80756?

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 80756 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 80756, than apply into the LCM equation.

GCF(80752,80756) = 4
LCM(80752,80756) = ( 80752 × 80756) / 4
LCM(80752,80756) = 6521208512 / 4
LCM(80752,80756) = 1630302128

Least Common Multiple (LCM) of 80752 and 80756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80752 and 80756. First we will calculate the prime factors of 80752 and 80756.

Prime Factorization of 80752

Prime Factorization of 80756

Now multiplying the highest exponent prime factors to calculate the LCM of 80752 and 80756.

LCM(80752,80756) = 2⁴ × 7² × 103¹ × 13¹ × 1553¹
LCM(80752,80756) = 1630302128