What is the Least Common Multiple of 41408 and 41424?

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 41408 and 41424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41408 and 41424, than apply into the LCM equation.

GCF(41408,41424) = 16
LCM(41408,41424) = ( 41408 × 41424) / 16
LCM(41408,41424) = 1715284992 / 16
LCM(41408,41424) = 107205312

Least Common Multiple (LCM) of 41408 and 41424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41408 and 41424. First we will calculate the prime factors of 41408 and 41424.

Prime Factorization of 41408

Prime Factorization of 41424

Now multiplying the highest exponent prime factors to calculate the LCM of 41408 and 41424.

LCM(41408,41424) = 2⁶ × 647¹ × 3¹ × 863¹
LCM(41408,41424) = 107205312