What is the Least Common Multiple of 50238 and 50255?

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 50255 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 50255, than apply into the LCM equation.

GCF(50238,50255) = 1
LCM(50238,50255) = ( 50238 × 50255) / 1
LCM(50238,50255) = 2524710690 / 1
LCM(50238,50255) = 2524710690

Least Common Multiple (LCM) of 50238 and 50255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50238 and 50255. First we will calculate the prime factors of 50238 and 50255.

Prime Factorization of 50238

Prime Factorization of 50255

Now multiplying the highest exponent prime factors to calculate the LCM of 50238 and 50255.

LCM(50238,50255) = 2¹ × 3² × 2791¹ × 5¹ × 19¹ × 23²
LCM(50238,50255) = 2524710690