What is the Least Common Multiple of 41838 and 41845?

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 41845 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 41845, than apply into the LCM equation.

GCF(41838,41845) = 1
LCM(41838,41845) = ( 41838 × 41845) / 1
LCM(41838,41845) = 1750711110 / 1
LCM(41838,41845) = 1750711110

Least Common Multiple (LCM) of 41838 and 41845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41838 and 41845. First we will calculate the prime factors of 41838 and 41845.

Prime Factorization of 41838

Prime Factorization of 41845

Now multiplying the highest exponent prime factors to calculate the LCM of 41838 and 41845.

LCM(41838,41845) = 2¹ × 3¹ × 19¹ × 367¹ × 5¹ × 8369¹
LCM(41838,41845) = 1750711110