What is the Least Common Multiple of 39312 and 39329?

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 39312 and 39329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39312 and 39329, than apply into the LCM equation.

GCF(39312,39329) = 1
LCM(39312,39329) = ( 39312 × 39329) / 1
LCM(39312,39329) = 1546101648 / 1
LCM(39312,39329) = 1546101648

Least Common Multiple (LCM) of 39312 and 39329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39312 and 39329. First we will calculate the prime factors of 39312 and 39329.

Prime Factorization of 39312

Prime Factorization of 39329

Now multiplying the highest exponent prime factors to calculate the LCM of 39312 and 39329.

LCM(39312,39329) = 2⁴ × 3³ × 7¹ × 13¹ × 67¹ × 587¹
LCM(39312,39329) = 1546101648