What is the Least Common Multiple of 57330 and 57344?

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 57330 and 57344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57330 and 57344, than apply into the LCM equation.

GCF(57330,57344) = 14
LCM(57330,57344) = ( 57330 × 57344) / 14
LCM(57330,57344) = 3287531520 / 14
LCM(57330,57344) = 234823680

Least Common Multiple (LCM) of 57330 and 57344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57330 and 57344. First we will calculate the prime factors of 57330 and 57344.

Prime Factorization of 57330

Prime Factorization of 57344

Now multiplying the highest exponent prime factors to calculate the LCM of 57330 and 57344.

LCM(57330,57344) = 2¹³ × 3² × 5¹ × 7² × 13¹
LCM(57330,57344) = 234823680