What is the Least Common Multiple of 51025 and 51045?

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 51025 and 51045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51025 and 51045, than apply into the LCM equation.

GCF(51025,51045) = 5
LCM(51025,51045) = ( 51025 × 51045) / 5
LCM(51025,51045) = 2604571125 / 5
LCM(51025,51045) = 520914225

Least Common Multiple (LCM) of 51025 and 51045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51025 and 51045. First we will calculate the prime factors of 51025 and 51045.

Prime Factorization of 51025

Prime Factorization of 51045

Now multiplying the highest exponent prime factors to calculate the LCM of 51025 and 51045.

LCM(51025,51045) = 5² × 13¹ × 157¹ × 3¹ × 41¹ × 83¹
LCM(51025,51045) = 520914225