What is the Least Common Multiple of 51234 and 51252?

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 51252 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 51252, than apply into the LCM equation.

GCF(51234,51252) = 6
LCM(51234,51252) = ( 51234 × 51252) / 6
LCM(51234,51252) = 2625844968 / 6
LCM(51234,51252) = 437640828

Least Common Multiple (LCM) of 51234 and 51252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51234 and 51252. First we will calculate the prime factors of 51234 and 51252.

Prime Factorization of 51234

Prime Factorization of 51252

Now multiplying the highest exponent prime factors to calculate the LCM of 51234 and 51252.

LCM(51234,51252) = 2² × 3¹ × 8539¹ × 4271¹
LCM(51234,51252) = 437640828