What is the Least Common Multiple of 42339 and 42357?

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 42339 and 42357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42339 and 42357, than apply into the LCM equation.

GCF(42339,42357) = 3
LCM(42339,42357) = ( 42339 × 42357) / 3
LCM(42339,42357) = 1793353023 / 3
LCM(42339,42357) = 597784341

Least Common Multiple (LCM) of 42339 and 42357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42339 and 42357. First we will calculate the prime factors of 42339 and 42357.

Prime Factorization of 42339

Prime Factorization of 42357

Now multiplying the highest exponent prime factors to calculate the LCM of 42339 and 42357.

LCM(42339,42357) = 3¹ × 11¹ × 1283¹ × 7¹ × 2017¹
LCM(42339,42357) = 597784341