What is the Least Common Multiple of 25165 and 25172?

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 25165 and 25172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25165 and 25172, than apply into the LCM equation.

GCF(25165,25172) = 7
LCM(25165,25172) = ( 25165 × 25172) / 7
LCM(25165,25172) = 633453380 / 7
LCM(25165,25172) = 90493340

Least Common Multiple (LCM) of 25165 and 25172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25165 and 25172. First we will calculate the prime factors of 25165 and 25172.

Prime Factorization of 25165

Prime Factorization of 25172

Now multiplying the highest exponent prime factors to calculate the LCM of 25165 and 25172.

LCM(25165,25172) = 5¹ × 7¹ × 719¹ × 2² × 29¹ × 31¹
LCM(25165,25172) = 90493340