What is the Least Common Multiple of 42357 and 42375?

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 42357 and 42375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42357 and 42375, than apply into the LCM equation.

GCF(42357,42375) = 3
LCM(42357,42375) = ( 42357 × 42375) / 3
LCM(42357,42375) = 1794877875 / 3
LCM(42357,42375) = 598292625

Least Common Multiple (LCM) of 42357 and 42375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42357 and 42375. First we will calculate the prime factors of 42357 and 42375.

Prime Factorization of 42357

Prime Factorization of 42375

Now multiplying the highest exponent prime factors to calculate the LCM of 42357 and 42375.

LCM(42357,42375) = 3¹ × 7¹ × 2017¹ × 5³ × 113¹
LCM(42357,42375) = 598292625