What is the Least Common Multiple of 57404 and 57412?

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 57404 and 57412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57404 and 57412, than apply into the LCM equation.

GCF(57404,57412) = 4
LCM(57404,57412) = ( 57404 × 57412) / 4
LCM(57404,57412) = 3295678448 / 4
LCM(57404,57412) = 823919612

Least Common Multiple (LCM) of 57404 and 57412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57404 and 57412. First we will calculate the prime factors of 57404 and 57412.

Prime Factorization of 57404

Prime Factorization of 57412

Now multiplying the highest exponent prime factors to calculate the LCM of 57404 and 57412.

LCM(57404,57412) = 2² × 113¹ × 127¹ × 31¹ × 463¹
LCM(57404,57412) = 823919612