What is the Least Common Multiple of 39468 and 39483?

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 39468 and 39483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39468 and 39483, than apply into the LCM equation.

GCF(39468,39483) = 3
LCM(39468,39483) = ( 39468 × 39483) / 3
LCM(39468,39483) = 1558315044 / 3
LCM(39468,39483) = 519438348

Least Common Multiple (LCM) of 39468 and 39483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39468 and 39483. First we will calculate the prime factors of 39468 and 39483.

Prime Factorization of 39468

Prime Factorization of 39483

Now multiplying the highest exponent prime factors to calculate the LCM of 39468 and 39483.

LCM(39468,39483) = 2² × 3² × 11¹ × 13¹ × 23¹ × 41¹ × 107¹
LCM(39468,39483) = 519438348