GCF and LCM Calculator Logo

What is the Least Common Multiple of 25487 and 25496?

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 25487 and 25496 is 649816552.

LCM(25487,25496) = 649816552

LCM Calculator and
and

Least Common Multiple of 25487 and 25496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25487 and 25496, than apply into the LCM equation.

GCF(25487,25496) = 1
LCM(25487,25496) = ( 25487 × 25496) / 1
LCM(25487,25496) = 649816552 / 1
LCM(25487,25496) = 649816552

Least Common Multiple (LCM) of 25487 and 25496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25487 and 25496. First we will calculate the prime factors of 25487 and 25496.

Prime Factorization of 25487

Prime factors of 25487 are 7, 11, 331. Prime factorization of 25487 in exponential form is:

25487 = 71 × 111 × 3311

Prime Factorization of 25496

Prime factors of 25496 are 2, 3187. Prime factorization of 25496 in exponential form is:

25496 = 23 × 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 25487 and 25496.

LCM(25487,25496) = 71 × 111 × 3311 × 23 × 31871
LCM(25487,25496) = 649816552