GCF and LCM Calculator Logo

What is the Least Common Multiple of 25655 and 25668?

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 25668 is 658512540.

LCM(25655,25668) = 658512540

LCM Calculator and
and

Least Common Multiple of 25655 and 25668 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 25668, than apply into the LCM equation.

GCF(25655,25668) = 1
LCM(25655,25668) = ( 25655 × 25668) / 1
LCM(25655,25668) = 658512540 / 1
LCM(25655,25668) = 658512540

Least Common Multiple (LCM) of 25655 and 25668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25655 and 25668. First we will calculate the prime factors of 25655 and 25668.

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 25668

Prime factors of 25668 are 2, 3, 23, 31. Prime factorization of 25668 in exponential form is:

25668 = 22 × 32 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 25655 and 25668.

LCM(25655,25668) = 51 × 71 × 7331 × 22 × 32 × 231 × 311
LCM(25655,25668) = 658512540