What is the Least Common Multiple of 57396 and 57406?

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 57396 and 57406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57396 and 57406, than apply into the LCM equation.

GCF(57396,57406) = 2
LCM(57396,57406) = ( 57396 × 57406) / 2
LCM(57396,57406) = 3294874776 / 2
LCM(57396,57406) = 1647437388

Least Common Multiple (LCM) of 57396 and 57406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57396 and 57406. First we will calculate the prime factors of 57396 and 57406.

Prime Factorization of 57396

Prime Factorization of 57406

Now multiplying the highest exponent prime factors to calculate the LCM of 57396 and 57406.

LCM(57396,57406) = 2² × 3¹ × 4783¹ × 28703¹
LCM(57396,57406) = 1647437388