What is the Least Common Multiple of 50900 and 50910?

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 50900 and 50910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50900 and 50910, than apply into the LCM equation.

GCF(50900,50910) = 10
LCM(50900,50910) = ( 50900 × 50910) / 10
LCM(50900,50910) = 2591319000 / 10
LCM(50900,50910) = 259131900

Least Common Multiple (LCM) of 50900 and 50910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50900 and 50910. First we will calculate the prime factors of 50900 and 50910.

Prime Factorization of 50900

Prime Factorization of 50910

Now multiplying the highest exponent prime factors to calculate the LCM of 50900 and 50910.

LCM(50900,50910) = 2² × 5² × 509¹ × 3¹ × 1697¹
LCM(50900,50910) = 259131900