GCF and LCM Calculator Logo

What is the Least Common Multiple of 25546 and 25556?

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 25546 and 25556 is 326426788.

LCM(25546,25556) = 326426788

LCM Calculator and
and

Least Common Multiple of 25546 and 25556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25546 and 25556, than apply into the LCM equation.

GCF(25546,25556) = 2
LCM(25546,25556) = ( 25546 × 25556) / 2
LCM(25546,25556) = 652853576 / 2
LCM(25546,25556) = 326426788

Least Common Multiple (LCM) of 25546 and 25556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25546 and 25556. First we will calculate the prime factors of 25546 and 25556.

Prime Factorization of 25546

Prime factors of 25546 are 2, 53, 241. Prime factorization of 25546 in exponential form is:

25546 = 21 × 531 × 2411

Prime Factorization of 25556

Prime factors of 25556 are 2, 6389. Prime factorization of 25556 in exponential form is:

25556 = 22 × 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 25546 and 25556.

LCM(25546,25556) = 22 × 531 × 2411 × 63891
LCM(25546,25556) = 326426788