What is the Least Common Multiple of 25696 and 25704?

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 25696 and 25704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25696 and 25704, than apply into the LCM equation.

GCF(25696,25704) = 8
LCM(25696,25704) = ( 25696 × 25704) / 8
LCM(25696,25704) = 660489984 / 8
LCM(25696,25704) = 82561248

Least Common Multiple (LCM) of 25696 and 25704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25696 and 25704. First we will calculate the prime factors of 25696 and 25704.

Prime Factorization of 25696

Prime Factorization of 25704

Now multiplying the highest exponent prime factors to calculate the LCM of 25696 and 25704.

LCM(25696,25704) = 2⁵ × 11¹ × 73¹ × 3³ × 7¹ × 17¹
LCM(25696,25704) = 82561248