What is the Least Common Multiple of 51234 and 51242?

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 51242 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 51242, than apply into the LCM equation.

GCF(51234,51242) = 2
LCM(51234,51242) = ( 51234 × 51242) / 2
LCM(51234,51242) = 2625332628 / 2
LCM(51234,51242) = 1312666314

Least Common Multiple (LCM) of 51234 and 51242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51234 and 51242. First we will calculate the prime factors of 51234 and 51242.

Prime Factorization of 51234

Prime Factorization of 51242

Now multiplying the highest exponent prime factors to calculate the LCM of 51234 and 51242.

LCM(51234,51242) = 2¹ × 3¹ × 8539¹ × 25621¹
LCM(51234,51242) = 1312666314