What is the Least Common Multiple of 41800 and 41805?

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 41800 and 41805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41800 and 41805, than apply into the LCM equation.

GCF(41800,41805) = 5
LCM(41800,41805) = ( 41800 × 41805) / 5
LCM(41800,41805) = 1747449000 / 5
LCM(41800,41805) = 349489800

Least Common Multiple (LCM) of 41800 and 41805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41800 and 41805. First we will calculate the prime factors of 41800 and 41805.

Prime Factorization of 41800

Prime Factorization of 41805

Now multiplying the highest exponent prime factors to calculate the LCM of 41800 and 41805.

LCM(41800,41805) = 2³ × 5² × 11¹ × 19¹ × 3² × 929¹
LCM(41800,41805) = 349489800