What is the Least Common Multiple of 57364 and 57381?

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 57364 and 57381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57364 and 57381, than apply into the LCM equation.

GCF(57364,57381) = 1
LCM(57364,57381) = ( 57364 × 57381) / 1
LCM(57364,57381) = 3291603684 / 1
LCM(57364,57381) = 3291603684

Least Common Multiple (LCM) of 57364 and 57381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57364 and 57381. First we will calculate the prime factors of 57364 and 57381.

Prime Factorization of 57364

Prime Factorization of 57381

Now multiplying the highest exponent prime factors to calculate the LCM of 57364 and 57381.

LCM(57364,57381) = 2² × 14341¹ × 3¹ × 31¹ × 617¹
LCM(57364,57381) = 3291603684