What is the Least Common Multiple of 25760 and 25772?

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 25760 and 25772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25760 and 25772, than apply into the LCM equation.

GCF(25760,25772) = 4
LCM(25760,25772) = ( 25760 × 25772) / 4
LCM(25760,25772) = 663886720 / 4
LCM(25760,25772) = 165971680

Least Common Multiple (LCM) of 25760 and 25772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25760 and 25772. First we will calculate the prime factors of 25760 and 25772.

Prime Factorization of 25760

Prime Factorization of 25772

Now multiplying the highest exponent prime factors to calculate the LCM of 25760 and 25772.

LCM(25760,25772) = 2⁵ × 5¹ × 7¹ × 23¹ × 17¹ × 379¹
LCM(25760,25772) = 165971680