What is the Least Common Multiple of 25728 and 25746?

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 25746 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 25746, than apply into the LCM equation.

GCF(25728,25746) = 6
LCM(25728,25746) = ( 25728 × 25746) / 6
LCM(25728,25746) = 662393088 / 6
LCM(25728,25746) = 110398848

Least Common Multiple (LCM) of 25728 and 25746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25728 and 25746. First we will calculate the prime factors of 25728 and 25746.

Prime Factorization of 25728

Prime Factorization of 25746

Now multiplying the highest exponent prime factors to calculate the LCM of 25728 and 25746.

LCM(25728,25746) = 2⁷ × 3¹ × 67¹ × 7¹ × 613¹
LCM(25728,25746) = 110398848