What is the Least Common Multiple of 41805 and 41823?

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 41805 and 41823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41805 and 41823, than apply into the LCM equation.

GCF(41805,41823) = 9
LCM(41805,41823) = ( 41805 × 41823) / 9
LCM(41805,41823) = 1748410515 / 9
LCM(41805,41823) = 194267835

Least Common Multiple (LCM) of 41805 and 41823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41805 and 41823. First we will calculate the prime factors of 41805 and 41823.

Prime Factorization of 41805

Prime Factorization of 41823

Now multiplying the highest exponent prime factors to calculate the LCM of 41805 and 41823.

LCM(41805,41823) = 3³ × 5¹ × 929¹ × 1549¹
LCM(41805,41823) = 194267835