What is the Least Common Multiple of 50752 and 50758?

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 50758 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 50758, than apply into the LCM equation.

GCF(50752,50758) = 2
LCM(50752,50758) = ( 50752 × 50758) / 2
LCM(50752,50758) = 2576070016 / 2
LCM(50752,50758) = 1288035008

Least Common Multiple (LCM) of 50752 and 50758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50752 and 50758. First we will calculate the prime factors of 50752 and 50758.

Prime Factorization of 50752

Prime Factorization of 50758

Now multiplying the highest exponent prime factors to calculate the LCM of 50752 and 50758.

LCM(50752,50758) = 2⁶ × 13¹ × 61¹ × 41¹ × 619¹
LCM(50752,50758) = 1288035008