GCF and LCM Calculator Logo

What is the Least Common Multiple of 25456 and 25464?

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 25456 and 25464 is 81026448.

LCM(25456,25464) = 81026448

LCM Calculator and
and

Least Common Multiple of 25456 and 25464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25456 and 25464, than apply into the LCM equation.

GCF(25456,25464) = 8
LCM(25456,25464) = ( 25456 × 25464) / 8
LCM(25456,25464) = 648211584 / 8
LCM(25456,25464) = 81026448

Least Common Multiple (LCM) of 25456 and 25464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25456 and 25464. First we will calculate the prime factors of 25456 and 25464.

Prime Factorization of 25456

Prime factors of 25456 are 2, 37, 43. Prime factorization of 25456 in exponential form is:

25456 = 24 × 371 × 431

Prime Factorization of 25464

Prime factors of 25464 are 2, 3, 1061. Prime factorization of 25464 in exponential form is:

25464 = 23 × 31 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 25456 and 25464.

LCM(25456,25464) = 24 × 371 × 431 × 31 × 10611
LCM(25456,25464) = 81026448