What is the Least Common Multiple of 41544 and 41564?

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 41544 and 41564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41544 and 41564, than apply into the LCM equation.

GCF(41544,41564) = 4
LCM(41544,41564) = ( 41544 × 41564) / 4
LCM(41544,41564) = 1726734816 / 4
LCM(41544,41564) = 431683704

Least Common Multiple (LCM) of 41544 and 41564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41544 and 41564. First we will calculate the prime factors of 41544 and 41564.

Prime Factorization of 41544

Prime Factorization of 41564

Now multiplying the highest exponent prime factors to calculate the LCM of 41544 and 41564.

LCM(41544,41564) = 2³ × 3² × 577¹ × 10391¹
LCM(41544,41564) = 431683704