What is the Least Common Multiple of 25146 and 25161?

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 25146 and 25161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25146 and 25161, than apply into the LCM equation.

GCF(25146,25161) = 3
LCM(25146,25161) = ( 25146 × 25161) / 3
LCM(25146,25161) = 632698506 / 3
LCM(25146,25161) = 210899502

Least Common Multiple (LCM) of 25146 and 25161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25146 and 25161. First we will calculate the prime factors of 25146 and 25161.

Prime Factorization of 25146

Prime Factorization of 25161

Now multiplying the highest exponent prime factors to calculate the LCM of 25146 and 25161.

LCM(25146,25161) = 2¹ × 3² × 11¹ × 127¹ × 8387¹
LCM(25146,25161) = 210899502