What is the Least Common Multiple of 38344 and 38358?

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 38344 and 38358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38344 and 38358, than apply into the LCM equation.

GCF(38344,38358) = 2
LCM(38344,38358) = ( 38344 × 38358) / 2
LCM(38344,38358) = 1470799152 / 2
LCM(38344,38358) = 735399576

Least Common Multiple (LCM) of 38344 and 38358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38344 and 38358. First we will calculate the prime factors of 38344 and 38358.

Prime Factorization of 38344

Prime Factorization of 38358

Now multiplying the highest exponent prime factors to calculate the LCM of 38344 and 38358.

LCM(38344,38358) = 2³ × 4793¹ × 3² × 2131¹
LCM(38344,38358) = 735399576