What is the Least Common Multiple of 50752 and 50756?

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 50752 and 50756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50752 and 50756, than apply into the LCM equation.

GCF(50752,50756) = 4
LCM(50752,50756) = ( 50752 × 50756) / 4
LCM(50752,50756) = 2575968512 / 4
LCM(50752,50756) = 643992128

Least Common Multiple (LCM) of 50752 and 50756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50752 and 50756. First we will calculate the prime factors of 50752 and 50756.

Prime Factorization of 50752

Prime Factorization of 50756

Now multiplying the highest exponent prime factors to calculate the LCM of 50752 and 50756.

LCM(50752,50756) = 2⁶ × 13¹ × 61¹ × 12689¹
LCM(50752,50756) = 643992128