What is the Least Common Multiple of 39462 and 39468?

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 39462 and 39468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39462 and 39468, than apply into the LCM equation.

GCF(39462,39468) = 6
LCM(39462,39468) = ( 39462 × 39468) / 6
LCM(39462,39468) = 1557486216 / 6
LCM(39462,39468) = 259581036

Least Common Multiple (LCM) of 39462 and 39468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39462 and 39468. First we will calculate the prime factors of 39462 and 39468.

Prime Factorization of 39462

Prime Factorization of 39468

Now multiplying the highest exponent prime factors to calculate the LCM of 39462 and 39468.

LCM(39462,39468) = 2² × 3¹ × 6577¹ × 11¹ × 13¹ × 23¹
LCM(39462,39468) = 259581036