What is the Least Common Multiple of 57344 and 57358?

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 57344 and 57358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57344 and 57358, than apply into the LCM equation.

GCF(57344,57358) = 14
LCM(57344,57358) = ( 57344 × 57358) / 14
LCM(57344,57358) = 3289137152 / 14
LCM(57344,57358) = 234938368

Least Common Multiple (LCM) of 57344 and 57358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57344 and 57358. First we will calculate the prime factors of 57344 and 57358.

Prime Factorization of 57344

Prime Factorization of 57358

Now multiplying the highest exponent prime factors to calculate the LCM of 57344 and 57358.

LCM(57344,57358) = 2¹³ × 7¹ × 17¹ × 241¹
LCM(57344,57358) = 234938368