What is the Least Common Multiple of 50910 and 50925?

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 50910 and 50925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50910 and 50925, than apply into the LCM equation.

GCF(50910,50925) = 15
LCM(50910,50925) = ( 50910 × 50925) / 15
LCM(50910,50925) = 2592591750 / 15
LCM(50910,50925) = 172839450

Least Common Multiple (LCM) of 50910 and 50925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50910 and 50925. First we will calculate the prime factors of 50910 and 50925.

Prime Factorization of 50910

Prime Factorization of 50925

Now multiplying the highest exponent prime factors to calculate the LCM of 50910 and 50925.

LCM(50910,50925) = 2¹ × 3¹ × 5² × 1697¹ × 7¹ × 97¹
LCM(50910,50925) = 172839450