What is the Least Common Multiple of 52425 and 52433?

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 52425 and 52433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52425 and 52433, than apply into the LCM equation.

GCF(52425,52433) = 1
LCM(52425,52433) = ( 52425 × 52433) / 1
LCM(52425,52433) = 2748800025 / 1
LCM(52425,52433) = 2748800025

Least Common Multiple (LCM) of 52425 and 52433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52425 and 52433. First we will calculate the prime factors of 52425 and 52433.

Prime Factorization of 52425

Prime Factorization of 52433

Now multiplying the highest exponent prime factors to calculate the LCM of 52425 and 52433.

LCM(52425,52433) = 3² × 5² × 233¹ × 52433¹
LCM(52425,52433) = 2748800025