What is the Least Common Multiple of 41584 and 41590?

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 41590 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 41590, than apply into the LCM equation.

GCF(41584,41590) = 2
LCM(41584,41590) = ( 41584 × 41590) / 2
LCM(41584,41590) = 1729478560 / 2
LCM(41584,41590) = 864739280

Least Common Multiple (LCM) of 41584 and 41590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41584 and 41590. First we will calculate the prime factors of 41584 and 41590.

Prime Factorization of 41584

Prime Factorization of 41590

Now multiplying the highest exponent prime factors to calculate the LCM of 41584 and 41590.

LCM(41584,41590) = 2⁴ × 23¹ × 113¹ × 5¹ × 4159¹
LCM(41584,41590) = 864739280