What is the Least Common Multiple of 41835 and 41850?

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 41835 and 41850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41835 and 41850, than apply into the LCM equation.

GCF(41835,41850) = 15
LCM(41835,41850) = ( 41835 × 41850) / 15
LCM(41835,41850) = 1750794750 / 15
LCM(41835,41850) = 116719650

Least Common Multiple (LCM) of 41835 and 41850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41835 and 41850. First we will calculate the prime factors of 41835 and 41850.

Prime Factorization of 41835

Prime Factorization of 41850

Now multiplying the highest exponent prime factors to calculate the LCM of 41835 and 41850.

LCM(41835,41850) = 3³ × 5² × 2789¹ × 2¹ × 31¹
LCM(41835,41850) = 116719650