What is the Least Common Multiple of 41408 and 41426?

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 41426 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 41426, than apply into the LCM equation.

GCF(41408,41426) = 2
LCM(41408,41426) = ( 41408 × 41426) / 2
LCM(41408,41426) = 1715367808 / 2
LCM(41408,41426) = 857683904

Least Common Multiple (LCM) of 41408 and 41426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41408 and 41426. First we will calculate the prime factors of 41408 and 41426.

Prime Factorization of 41408

Prime Factorization of 41426

Now multiplying the highest exponent prime factors to calculate the LCM of 41408 and 41426.

LCM(41408,41426) = 2⁶ × 647¹ × 7¹ × 11¹ × 269¹
LCM(41408,41426) = 857683904