What is the Least Common Multiple of 25728 and 25744?

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 25728 and 25744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25728 and 25744, than apply into the LCM equation.

GCF(25728,25744) = 16
LCM(25728,25744) = ( 25728 × 25744) / 16
LCM(25728,25744) = 662341632 / 16
LCM(25728,25744) = 41396352

Least Common Multiple (LCM) of 25728 and 25744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25728 and 25744. First we will calculate the prime factors of 25728 and 25744.

Prime Factorization of 25728

Prime Factorization of 25744

Now multiplying the highest exponent prime factors to calculate the LCM of 25728 and 25744.

LCM(25728,25744) = 2⁷ × 3¹ × 67¹ × 1609¹
LCM(25728,25744) = 41396352