What is the Least Common Multiple of 52359 and 52377?

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 52359 and 52377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52359 and 52377, than apply into the LCM equation.

GCF(52359,52377) = 3
LCM(52359,52377) = ( 52359 × 52377) / 3
LCM(52359,52377) = 2742407343 / 3
LCM(52359,52377) = 914135781

Least Common Multiple (LCM) of 52359 and 52377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52359 and 52377. First we will calculate the prime factors of 52359 and 52377.

Prime Factorization of 52359

Prime Factorization of 52377

Now multiplying the highest exponent prime factors to calculate the LCM of 52359 and 52377.

LCM(52359,52377) = 3¹ × 31¹ × 563¹ × 13¹ × 17¹ × 79¹
LCM(52359,52377) = 914135781