What is the Least Common Multiple of 25536 and 25548?

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 25536 and 25548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25536 and 25548, than apply into the LCM equation.

GCF(25536,25548) = 12
LCM(25536,25548) = ( 25536 × 25548) / 12
LCM(25536,25548) = 652393728 / 12
LCM(25536,25548) = 54366144

Least Common Multiple (LCM) of 25536 and 25548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25536 and 25548. First we will calculate the prime factors of 25536 and 25548.

Prime Factorization of 25536

Prime Factorization of 25548

Now multiplying the highest exponent prime factors to calculate the LCM of 25536 and 25548.

LCM(25536,25548) = 2⁶ × 3¹ × 7¹ × 19¹ × 2129¹
LCM(25536,25548) = 54366144