What is the Least Common Multiple of 25167 and 25173?

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 25167 and 25173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25167 and 25173, than apply into the LCM equation.

GCF(25167,25173) = 3
LCM(25167,25173) = ( 25167 × 25173) / 3
LCM(25167,25173) = 633528891 / 3
LCM(25167,25173) = 211176297

Least Common Multiple (LCM) of 25167 and 25173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25167 and 25173. First we will calculate the prime factors of 25167 and 25173.

Prime Factorization of 25167

Prime Factorization of 25173

Now multiplying the highest exponent prime factors to calculate the LCM of 25167 and 25173.

LCM(25167,25173) = 3² × 8389¹ × 2797¹
LCM(25167,25173) = 211176297