What is the Least Common Multiple of 51909 and 51923?

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 51909 and 51923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51909 and 51923, than apply into the LCM equation.

GCF(51909,51923) = 1
LCM(51909,51923) = ( 51909 × 51923) / 1
LCM(51909,51923) = 2695271007 / 1
LCM(51909,51923) = 2695271007

Least Common Multiple (LCM) of 51909 and 51923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51909 and 51923. First we will calculate the prime factors of 51909 and 51923.

Prime Factorization of 51909

Prime Factorization of 51923

Now multiplying the highest exponent prime factors to calculate the LCM of 51909 and 51923.

LCM(51909,51923) = 3¹ × 11³ × 13¹ × 137¹ × 379¹
LCM(51909,51923) = 2695271007