What is the Least Common Multiple of 41838 and 41856?

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 41838 and 41856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41838 and 41856, than apply into the LCM equation.

GCF(41838,41856) = 6
LCM(41838,41856) = ( 41838 × 41856) / 6
LCM(41838,41856) = 1751171328 / 6
LCM(41838,41856) = 291861888

Least Common Multiple (LCM) of 41838 and 41856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41838 and 41856. First we will calculate the prime factors of 41838 and 41856.

Prime Factorization of 41838

Prime Factorization of 41856

Now multiplying the highest exponent prime factors to calculate the LCM of 41838 and 41856.

LCM(41838,41856) = 2⁷ × 3¹ × 19¹ × 367¹ × 109¹
LCM(41838,41856) = 291861888