GCF and LCM Calculator Logo

What is the Least Common Multiple of 25157 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 (LCM) of 25157 and 25165 is 633075905.

LCM(25157,25165) = 633075905

LCM Calculator and
and

Least Common Multiple of 25157 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 25157 and 25165, than apply into the LCM equation.

GCF(25157,25165) = 1
LCM(25157,25165) = ( 25157 × 25165) / 1
LCM(25157,25165) = 633075905 / 1
LCM(25157,25165) = 633075905

Least Common Multiple (LCM) of 25157 and 25165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25157 and 25165. First we will calculate the prime factors of 25157 and 25165.

Prime Factorization of 25157

Prime factors of 25157 are 11, 2287. Prime factorization of 25157 in exponential form is:

25157 = 111 × 22871

Prime Factorization of 25165

Prime factors of 25165 are 5, 7, 719. Prime factorization of 25165 in exponential form is:

25165 = 51 × 71 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 25157 and 25165.

LCM(25157,25165) = 111 × 22871 × 51 × 71 × 7191
LCM(25157,25165) = 633075905