What is the Least Common Multiple of 12438 and 12448?

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 12438 and 12448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12438 and 12448, than apply into the LCM equation.

GCF(12438,12448) = 2
LCM(12438,12448) = ( 12438 × 12448) / 2
LCM(12438,12448) = 154828224 / 2
LCM(12438,12448) = 77414112

Least Common Multiple (LCM) of 12438 and 12448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12438 and 12448. First we will calculate the prime factors of 12438 and 12448.

Prime Factorization of 12438

Prime Factorization of 12448

Now multiplying the highest exponent prime factors to calculate the LCM of 12438 and 12448.

LCM(12438,12448) = 2⁵ × 3² × 691¹ × 389¹
LCM(12438,12448) = 77414112