What is the Least Common Multiple of 41584 and 41600?

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 41584 and 41600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41584 and 41600, than apply into the LCM equation.

GCF(41584,41600) = 16
LCM(41584,41600) = ( 41584 × 41600) / 16
LCM(41584,41600) = 1729894400 / 16
LCM(41584,41600) = 108118400

Least Common Multiple (LCM) of 41584 and 41600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41584 and 41600. First we will calculate the prime factors of 41584 and 41600.

Prime Factorization of 41584

Prime Factorization of 41600

Now multiplying the highest exponent prime factors to calculate the LCM of 41584 and 41600.

LCM(41584,41600) = 2⁷ × 23¹ × 113¹ × 5² × 13¹
LCM(41584,41600) = 108118400