What is the Least Common Multiple of 38448 and 38457?

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 38448 and 38457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38448 and 38457, than apply into the LCM equation.

GCF(38448,38457) = 9
LCM(38448,38457) = ( 38448 × 38457) / 9
LCM(38448,38457) = 1478594736 / 9
LCM(38448,38457) = 164288304

Least Common Multiple (LCM) of 38448 and 38457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38448 and 38457. First we will calculate the prime factors of 38448 and 38457.

Prime Factorization of 38448

Prime Factorization of 38457

Now multiplying the highest exponent prime factors to calculate the LCM of 38448 and 38457.

LCM(38448,38457) = 2⁴ × 3³ × 89¹ × 4273¹
LCM(38448,38457) = 164288304