What is the Least Common Multiple of 50238 and 50252?

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 50238 and 50252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50238 and 50252, than apply into the LCM equation.

GCF(50238,50252) = 2
LCM(50238,50252) = ( 50238 × 50252) / 2
LCM(50238,50252) = 2524559976 / 2
LCM(50238,50252) = 1262279988

Least Common Multiple (LCM) of 50238 and 50252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50238 and 50252. First we will calculate the prime factors of 50238 and 50252.

Prime Factorization of 50238

Prime Factorization of 50252

Now multiplying the highest exponent prime factors to calculate the LCM of 50238 and 50252.

LCM(50238,50252) = 2² × 3² × 2791¹ × 17¹ × 739¹
LCM(50238,50252) = 1262279988