What is the Least Common Multiple of 57933 and 57945?

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 57945 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 57945, than apply into the LCM equation.

GCF(57933,57945) = 3
LCM(57933,57945) = ( 57933 × 57945) / 3
LCM(57933,57945) = 3356927685 / 3
LCM(57933,57945) = 1118975895

Least Common Multiple (LCM) of 57933 and 57945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57933 and 57945. First we will calculate the prime factors of 57933 and 57945.

Prime Factorization of 57933

Prime Factorization of 57945

Now multiplying the highest exponent prime factors to calculate the LCM of 57933 and 57945.

LCM(57933,57945) = 3² × 41¹ × 157¹ × 5¹ × 3863¹
LCM(57933,57945) = 1118975895