What is the Least Common Multiple of 57390 and 57404?

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 57390 and 57404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57390 and 57404, than apply into the LCM equation.

GCF(57390,57404) = 2
LCM(57390,57404) = ( 57390 × 57404) / 2
LCM(57390,57404) = 3294415560 / 2
LCM(57390,57404) = 1647207780

Least Common Multiple (LCM) of 57390 and 57404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57390 and 57404. First we will calculate the prime factors of 57390 and 57404.

Prime Factorization of 57390

Prime Factorization of 57404

Now multiplying the highest exponent prime factors to calculate the LCM of 57390 and 57404.

LCM(57390,57404) = 2² × 3¹ × 5¹ × 1913¹ × 113¹ × 127¹
LCM(57390,57404) = 1647207780