What is the Least Common Multiple of 25524 and 25536?

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 25524 and 25536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25524 and 25536, than apply into the LCM equation.

GCF(25524,25536) = 12
LCM(25524,25536) = ( 25524 × 25536) / 12
LCM(25524,25536) = 651780864 / 12
LCM(25524,25536) = 54315072

Least Common Multiple (LCM) of 25524 and 25536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25524 and 25536. First we will calculate the prime factors of 25524 and 25536.

Prime Factorization of 25524

Prime Factorization of 25536

Now multiplying the highest exponent prime factors to calculate the LCM of 25524 and 25536.

LCM(25524,25536) = 2⁶ × 3² × 709¹ × 7¹ × 19¹
LCM(25524,25536) = 54315072