What is the Least Common Multiple of 41856 and 41865?

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 41856 and 41865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41856 and 41865, than apply into the LCM equation.

GCF(41856,41865) = 3
LCM(41856,41865) = ( 41856 × 41865) / 3
LCM(41856,41865) = 1752301440 / 3
LCM(41856,41865) = 584100480

Least Common Multiple (LCM) of 41856 and 41865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41856 and 41865. First we will calculate the prime factors of 41856 and 41865.

Prime Factorization of 41856

Prime Factorization of 41865

Now multiplying the highest exponent prime factors to calculate the LCM of 41856 and 41865.

LCM(41856,41865) = 2⁷ × 3¹ × 109¹ × 5¹ × 2791¹
LCM(41856,41865) = 584100480