GCF and LCM Calculator Logo

What is the Least Common Multiple of 25655 and 25670?

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 25655 and 25670 is 131712770.

LCM(25655,25670) = 131712770

LCM Calculator and
and

Least Common Multiple of 25655 and 25670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25655 and 25670, than apply into the LCM equation.

GCF(25655,25670) = 5
LCM(25655,25670) = ( 25655 × 25670) / 5
LCM(25655,25670) = 658563850 / 5
LCM(25655,25670) = 131712770

Least Common Multiple (LCM) of 25655 and 25670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25655 and 25670. First we will calculate the prime factors of 25655 and 25670.

Prime Factorization of 25655

Prime factors of 25655 are 5, 7, 733. Prime factorization of 25655 in exponential form is:

25655 = 51 × 71 × 7331

Prime Factorization of 25670

Prime factors of 25670 are 2, 5, 17, 151. Prime factorization of 25670 in exponential form is:

25670 = 21 × 51 × 171 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 25655 and 25670.

LCM(25655,25670) = 51 × 71 × 7331 × 21 × 171 × 1511
LCM(25655,25670) = 131712770