What is the Least Common Multiple of 57933 and 57943?

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 57933 and 57943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57933 and 57943, than apply into the LCM equation.

GCF(57933,57943) = 1
LCM(57933,57943) = ( 57933 × 57943) / 1
LCM(57933,57943) = 3356811819 / 1
LCM(57933,57943) = 3356811819

Least Common Multiple (LCM) of 57933 and 57943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57933 and 57943. First we will calculate the prime factors of 57933 and 57943.

Prime Factorization of 57933

Prime Factorization of 57943

Now multiplying the highest exponent prime factors to calculate the LCM of 57933 and 57943.

LCM(57933,57943) = 3² × 41¹ × 157¹ × 57943¹
LCM(57933,57943) = 3356811819