GCF and LCM Calculator Logo

What is the Least Common Multiple of 25635 and 25650?

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 25635 and 25650 is 43835850.

LCM(25635,25650) = 43835850

LCM Calculator and
and

Least Common Multiple of 25635 and 25650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25635 and 25650, than apply into the LCM equation.

GCF(25635,25650) = 15
LCM(25635,25650) = ( 25635 × 25650) / 15
LCM(25635,25650) = 657537750 / 15
LCM(25635,25650) = 43835850

Least Common Multiple (LCM) of 25635 and 25650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25635 and 25650. First we will calculate the prime factors of 25635 and 25650.

Prime Factorization of 25635

Prime factors of 25635 are 3, 5, 1709. Prime factorization of 25635 in exponential form is:

25635 = 31 × 51 × 17091

Prime Factorization of 25650

Prime factors of 25650 are 2, 3, 5, 19. Prime factorization of 25650 in exponential form is:

25650 = 21 × 33 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 25635 and 25650.

LCM(25635,25650) = 33 × 52 × 17091 × 21 × 191
LCM(25635,25650) = 43835850