What is the Least Common Multiple of 41805 and 41820?

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 41820 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 41820, than apply into the LCM equation.

GCF(41805,41820) = 15
LCM(41805,41820) = ( 41805 × 41820) / 15
LCM(41805,41820) = 1748285100 / 15
LCM(41805,41820) = 116552340

Least Common Multiple (LCM) of 41805 and 41820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41805 and 41820. First we will calculate the prime factors of 41805 and 41820.

Prime Factorization of 41805

Prime Factorization of 41820

Now multiplying the highest exponent prime factors to calculate the LCM of 41805 and 41820.

LCM(41805,41820) = 3² × 5¹ × 929¹ × 2² × 17¹ × 41¹
LCM(41805,41820) = 116552340