What is the Least Common Multiple of 57384 and 57400?

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 57384 and 57400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57384 and 57400, than apply into the LCM equation.

GCF(57384,57400) = 8
LCM(57384,57400) = ( 57384 × 57400) / 8
LCM(57384,57400) = 3293841600 / 8
LCM(57384,57400) = 411730200

Least Common Multiple (LCM) of 57384 and 57400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57384 and 57400. First we will calculate the prime factors of 57384 and 57400.

Prime Factorization of 57384

Prime Factorization of 57400

Now multiplying the highest exponent prime factors to calculate the LCM of 57384 and 57400.

LCM(57384,57400) = 2³ × 3² × 797¹ × 5² × 7¹ × 41¹
LCM(57384,57400) = 411730200