What is the Least Common Multiple of 57392 and 57408?

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 57392 and 57408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57392 and 57408, than apply into the LCM equation.

GCF(57392,57408) = 16
LCM(57392,57408) = ( 57392 × 57408) / 16
LCM(57392,57408) = 3294759936 / 16
LCM(57392,57408) = 205922496

Least Common Multiple (LCM) of 57392 and 57408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57392 and 57408. First we will calculate the prime factors of 57392 and 57408.

Prime Factorization of 57392

Prime Factorization of 57408

Now multiplying the highest exponent prime factors to calculate the LCM of 57392 and 57408.

LCM(57392,57408) = 2⁶ × 17¹ × 211¹ × 3¹ × 13¹ × 23¹
LCM(57392,57408) = 205922496