What is the Least Common Multiple of 52359 and 52372?

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 52372 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 52372, than apply into the LCM equation.

GCF(52359,52372) = 1
LCM(52359,52372) = ( 52359 × 52372) / 1
LCM(52359,52372) = 2742145548 / 1
LCM(52359,52372) = 2742145548

Least Common Multiple (LCM) of 52359 and 52372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52359 and 52372. First we will calculate the prime factors of 52359 and 52372.

Prime Factorization of 52359

Prime Factorization of 52372

Now multiplying the highest exponent prime factors to calculate the LCM of 52359 and 52372.

LCM(52359,52372) = 3¹ × 31¹ × 563¹ × 2² × 13093¹
LCM(52359,52372) = 2742145548