What is the Least Common Multiple of 25728 and 25743?

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 25743 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 25743, than apply into the LCM equation.

GCF(25728,25743) = 3
LCM(25728,25743) = ( 25728 × 25743) / 3
LCM(25728,25743) = 662315904 / 3
LCM(25728,25743) = 220771968

Least Common Multiple (LCM) of 25728 and 25743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25728 and 25743. First we will calculate the prime factors of 25728 and 25743.

Prime Factorization of 25728

Prime Factorization of 25743

Now multiplying the highest exponent prime factors to calculate the LCM of 25728 and 25743.

LCM(25728,25743) = 2⁷ × 3¹ × 67¹ × 8581¹
LCM(25728,25743) = 220771968