What is the Least Common Multiple of 25872 and 25888?

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 25872 and 25888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25872 and 25888, than apply into the LCM equation.

GCF(25872,25888) = 16
LCM(25872,25888) = ( 25872 × 25888) / 16
LCM(25872,25888) = 669774336 / 16
LCM(25872,25888) = 41860896

Least Common Multiple (LCM) of 25872 and 25888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25872 and 25888. First we will calculate the prime factors of 25872 and 25888.

Prime Factorization of 25872

Prime Factorization of 25888

Now multiplying the highest exponent prime factors to calculate the LCM of 25872 and 25888.

LCM(25872,25888) = 2⁵ × 3¹ × 7² × 11¹ × 809¹
LCM(25872,25888) = 41860896