What is the Least Common Multiple of 39351 and 39357?

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 39351 and 39357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39351 and 39357, than apply into the LCM equation.

GCF(39351,39357) = 3
LCM(39351,39357) = ( 39351 × 39357) / 3
LCM(39351,39357) = 1548737307 / 3
LCM(39351,39357) = 516245769

Least Common Multiple (LCM) of 39351 and 39357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39351 and 39357. First we will calculate the prime factors of 39351 and 39357.

Prime Factorization of 39351

Prime Factorization of 39357

Now multiplying the highest exponent prime factors to calculate the LCM of 39351 and 39357.

LCM(39351,39357) = 3² × 13¹ × 1009¹ × 4373¹
LCM(39351,39357) = 516245769