What is the Least Common Multiple of 57408 and 57425?

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 57408 and 57425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57408 and 57425, than apply into the LCM equation.

GCF(57408,57425) = 1
LCM(57408,57425) = ( 57408 × 57425) / 1
LCM(57408,57425) = 3296654400 / 1
LCM(57408,57425) = 3296654400

Least Common Multiple (LCM) of 57408 and 57425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57408 and 57425. First we will calculate the prime factors of 57408 and 57425.

Prime Factorization of 57408

Prime Factorization of 57425

Now multiplying the highest exponent prime factors to calculate the LCM of 57408 and 57425.

LCM(57408,57425) = 2⁶ × 3¹ × 13¹ × 23¹ × 5² × 2297¹
LCM(57408,57425) = 3296654400