What is the Least Common Multiple of 25160 and 25165?

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 25160 and 25165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25160 and 25165, than apply into the LCM equation.

GCF(25160,25165) = 5
LCM(25160,25165) = ( 25160 × 25165) / 5
LCM(25160,25165) = 633151400 / 5
LCM(25160,25165) = 126630280

Least Common Multiple (LCM) of 25160 and 25165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25160 and 25165. First we will calculate the prime factors of 25160 and 25165.

Prime Factorization of 25160

Prime Factorization of 25165

Now multiplying the highest exponent prime factors to calculate the LCM of 25160 and 25165.

LCM(25160,25165) = 2³ × 5¹ × 17¹ × 37¹ × 7¹ × 719¹
LCM(25160,25165) = 126630280