What is the Least Common Multiple of 57392 and 57399?

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 57399 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 57399, than apply into the LCM equation.

GCF(57392,57399) = 1
LCM(57392,57399) = ( 57392 × 57399) / 1
LCM(57392,57399) = 3294243408 / 1
LCM(57392,57399) = 3294243408

Least Common Multiple (LCM) of 57392 and 57399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57392 and 57399. First we will calculate the prime factors of 57392 and 57399.

Prime Factorization of 57392

Prime Factorization of 57399

Now multiplying the highest exponent prime factors to calculate the LCM of 57392 and 57399.

LCM(57392,57399) = 2⁴ × 17¹ × 211¹ × 3¹ × 19² × 53¹
LCM(57392,57399) = 3294243408