What is the Least Common Multiple of 25712 and 25728?

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 25712 and 25728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25712 and 25728, than apply into the LCM equation.

GCF(25712,25728) = 16
LCM(25712,25728) = ( 25712 × 25728) / 16
LCM(25712,25728) = 661518336 / 16
LCM(25712,25728) = 41344896

Least Common Multiple (LCM) of 25712 and 25728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25712 and 25728. First we will calculate the prime factors of 25712 and 25728.

Prime Factorization of 25712

Prime Factorization of 25728

Now multiplying the highest exponent prime factors to calculate the LCM of 25712 and 25728.

LCM(25712,25728) = 2⁷ × 1607¹ × 3¹ × 67¹
LCM(25712,25728) = 41344896