What is the Least Common Multiple of 15438 and 15456?

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 15438 and 15456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15438 and 15456, than apply into the LCM equation.

GCF(15438,15456) = 6
LCM(15438,15456) = ( 15438 × 15456) / 6
LCM(15438,15456) = 238609728 / 6
LCM(15438,15456) = 39768288

Least Common Multiple (LCM) of 15438 and 15456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15438 and 15456. First we will calculate the prime factors of 15438 and 15456.

Prime Factorization of 15438

Prime Factorization of 15456

Now multiplying the highest exponent prime factors to calculate the LCM of 15438 and 15456.

LCM(15438,15456) = 2⁵ × 3¹ × 31¹ × 83¹ × 7¹ × 23¹
LCM(15438,15456) = 39768288