What is the Least Common Multiple of 41820 and 41835?

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 41820 and 41835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41820 and 41835, than apply into the LCM equation.

GCF(41820,41835) = 15
LCM(41820,41835) = ( 41820 × 41835) / 15
LCM(41820,41835) = 1749539700 / 15
LCM(41820,41835) = 116635980

Least Common Multiple (LCM) of 41820 and 41835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41820 and 41835. First we will calculate the prime factors of 41820 and 41835.

Prime Factorization of 41820

Prime Factorization of 41835

Now multiplying the highest exponent prime factors to calculate the LCM of 41820 and 41835.

LCM(41820,41835) = 2² × 3¹ × 5¹ × 17¹ × 41¹ × 2789¹
LCM(41820,41835) = 116635980