What is the Least Common Multiple of 39438 and 39456?

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 39438 and 39456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39438 and 39456, than apply into the LCM equation.

GCF(39438,39456) = 18
LCM(39438,39456) = ( 39438 × 39456) / 18
LCM(39438,39456) = 1556065728 / 18
LCM(39438,39456) = 86448096

Least Common Multiple (LCM) of 39438 and 39456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39438 and 39456. First we will calculate the prime factors of 39438 and 39456.

Prime Factorization of 39438

Prime Factorization of 39456

Now multiplying the highest exponent prime factors to calculate the LCM of 39438 and 39456.

LCM(39438,39456) = 2⁵ × 3² × 7¹ × 313¹ × 137¹
LCM(39438,39456) = 86448096