What is the Least Common Multiple of 25452 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 of 25452 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 25452 and 25464, than apply into the LCM equation.

GCF(25452,25464) = 12
LCM(25452,25464) = ( 25452 × 25464) / 12
LCM(25452,25464) = 648109728 / 12
LCM(25452,25464) = 54009144

Least Common Multiple (LCM) of 25452 and 25464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25452 and 25464. First we will calculate the prime factors of 25452 and 25464.

Prime Factorization of 25452

Prime Factorization of 25464

Now multiplying the highest exponent prime factors to calculate the LCM of 25452 and 25464.

LCM(25452,25464) = 2³ × 3² × 7¹ × 101¹ × 1061¹
LCM(25452,25464) = 54009144