What is the Least Common Multiple of 51889 and 51908?

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 51889 and 51908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51889 and 51908, than apply into the LCM equation.

GCF(51889,51908) = 19
LCM(51889,51908) = ( 51889 × 51908) / 19
LCM(51889,51908) = 2693454212 / 19
LCM(51889,51908) = 141760748

Least Common Multiple (LCM) of 51889 and 51908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51889 and 51908. First we will calculate the prime factors of 51889 and 51908.

Prime Factorization of 51889

Prime Factorization of 51908

Now multiplying the highest exponent prime factors to calculate the LCM of 51889 and 51908.

LCM(51889,51908) = 19¹ × 2731¹ × 2² × 683¹
LCM(51889,51908) = 141760748