What is the Least Common Multiple of 25092 and 25111?

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 25092 and 25111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25092 and 25111, than apply into the LCM equation.

GCF(25092,25111) = 1
LCM(25092,25111) = ( 25092 × 25111) / 1
LCM(25092,25111) = 630085212 / 1
LCM(25092,25111) = 630085212

Least Common Multiple (LCM) of 25092 and 25111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25092 and 25111. First we will calculate the prime factors of 25092 and 25111.

Prime Factorization of 25092

Prime Factorization of 25111

Now multiplying the highest exponent prime factors to calculate the LCM of 25092 and 25111.

LCM(25092,25111) = 2² × 3² × 17¹ × 41¹ × 25111¹
LCM(25092,25111) = 630085212