What is the Least Common Multiple of 25219 and 25231?

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 25219 and 25231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25219 and 25231, than apply into the LCM equation.

GCF(25219,25231) = 1
LCM(25219,25231) = ( 25219 × 25231) / 1
LCM(25219,25231) = 636300589 / 1
LCM(25219,25231) = 636300589

Least Common Multiple (LCM) of 25219 and 25231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25219 and 25231. First we will calculate the prime factors of 25219 and 25231.

Prime Factorization of 25219

Prime Factorization of 25231

Now multiplying the highest exponent prime factors to calculate the LCM of 25219 and 25231.

LCM(25219,25231) = 25219¹ × 23¹ × 1097¹
LCM(25219,25231) = 636300589