What is the Least Common Multiple of 39348 and 39363?

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 39348 and 39363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39348 and 39363, than apply into the LCM equation.

GCF(39348,39363) = 3
LCM(39348,39363) = ( 39348 × 39363) / 3
LCM(39348,39363) = 1548855324 / 3
LCM(39348,39363) = 516285108

Least Common Multiple (LCM) of 39348 and 39363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39348 and 39363. First we will calculate the prime factors of 39348 and 39363.

Prime Factorization of 39348

Prime Factorization of 39363

Now multiplying the highest exponent prime factors to calculate the LCM of 39348 and 39363.

LCM(39348,39363) = 2² × 3² × 1093¹ × 13121¹
LCM(39348,39363) = 516285108