What is the Least Common Multiple of 17835 and 17845?

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 17835 and 17845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17835 and 17845, than apply into the LCM equation.

GCF(17835,17845) = 5
LCM(17835,17845) = ( 17835 × 17845) / 5
LCM(17835,17845) = 318265575 / 5
LCM(17835,17845) = 63653115

Least Common Multiple (LCM) of 17835 and 17845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17835 and 17845. First we will calculate the prime factors of 17835 and 17845.

Prime Factorization of 17835

Prime Factorization of 17845

Now multiplying the highest exponent prime factors to calculate the LCM of 17835 and 17845.

LCM(17835,17845) = 3¹ × 5¹ × 29¹ × 41¹ × 43¹ × 83¹
LCM(17835,17845) = 63653115