What is the Least Common Multiple of 52358 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 52358 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 52358 and 52372, than apply into the LCM equation.

GCF(52358,52372) = 2
LCM(52358,52372) = ( 52358 × 52372) / 2
LCM(52358,52372) = 2742093176 / 2
LCM(52358,52372) = 1371046588

Least Common Multiple (LCM) of 52358 and 52372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52358 and 52372. First we will calculate the prime factors of 52358 and 52372.

Prime Factorization of 52358

Prime Factorization of 52372

Now multiplying the highest exponent prime factors to calculate the LCM of 52358 and 52372.

LCM(52358,52372) = 2² × 47¹ × 557¹ × 13093¹
LCM(52358,52372) = 1371046588