What is the Least Common Multiple of 51234 and 51239?

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 51234 and 51239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51234 and 51239, than apply into the LCM equation.

GCF(51234,51239) = 1
LCM(51234,51239) = ( 51234 × 51239) / 1
LCM(51234,51239) = 2625178926 / 1
LCM(51234,51239) = 2625178926

Least Common Multiple (LCM) of 51234 and 51239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51234 and 51239. First we will calculate the prime factors of 51234 and 51239.

Prime Factorization of 51234

Prime Factorization of 51239

Now multiplying the highest exponent prime factors to calculate the LCM of 51234 and 51239.

LCM(51234,51239) = 2¹ × 3¹ × 8539¹ × 51239¹
LCM(51234,51239) = 2625178926