What is the Least Common Multiple of 50748 and 50752?

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 50748 and 50752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50748 and 50752, than apply into the LCM equation.

GCF(50748,50752) = 4
LCM(50748,50752) = ( 50748 × 50752) / 4
LCM(50748,50752) = 2575562496 / 4
LCM(50748,50752) = 643890624

Least Common Multiple (LCM) of 50748 and 50752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50748 and 50752. First we will calculate the prime factors of 50748 and 50752.

Prime Factorization of 50748

Prime Factorization of 50752

Now multiplying the highest exponent prime factors to calculate the LCM of 50748 and 50752.

LCM(50748,50752) = 2⁶ × 3¹ × 4229¹ × 13¹ × 61¹
LCM(50748,50752) = 643890624