What is the Least Common Multiple of 25119 and 25135?

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 25119 and 25135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25119 and 25135, than apply into the LCM equation.

GCF(25119,25135) = 1
LCM(25119,25135) = ( 25119 × 25135) / 1
LCM(25119,25135) = 631366065 / 1
LCM(25119,25135) = 631366065

Least Common Multiple (LCM) of 25119 and 25135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25119 and 25135. First we will calculate the prime factors of 25119 and 25135.

Prime Factorization of 25119

Prime Factorization of 25135

Now multiplying the highest exponent prime factors to calculate the LCM of 25119 and 25135.

LCM(25119,25135) = 3² × 2791¹ × 5¹ × 11¹ × 457¹
LCM(25119,25135) = 631366065