What is the Least Common Multiple of 41408 and 41418?

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 41418 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 41418, than apply into the LCM equation.

GCF(41408,41418) = 2
LCM(41408,41418) = ( 41408 × 41418) / 2
LCM(41408,41418) = 1715036544 / 2
LCM(41408,41418) = 857518272

Least Common Multiple (LCM) of 41408 and 41418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41408 and 41418. First we will calculate the prime factors of 41408 and 41418.

Prime Factorization of 41408

Prime Factorization of 41418

Now multiplying the highest exponent prime factors to calculate the LCM of 41408 and 41418.

LCM(41408,41418) = 2⁶ × 647¹ × 3³ × 13¹ × 59¹
LCM(41408,41418) = 857518272