What is the Least Common Multiple of 17815 and 17829?

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 17815 and 17829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17815 and 17829, than apply into the LCM equation.

GCF(17815,17829) = 7
LCM(17815,17829) = ( 17815 × 17829) / 7
LCM(17815,17829) = 317623635 / 7
LCM(17815,17829) = 45374805

Least Common Multiple (LCM) of 17815 and 17829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17815 and 17829. First we will calculate the prime factors of 17815 and 17829.

Prime Factorization of 17815

Prime Factorization of 17829

Now multiplying the highest exponent prime factors to calculate the LCM of 17815 and 17829.

LCM(17815,17829) = 5¹ × 7¹ × 509¹ × 3² × 283¹
LCM(17815,17829) = 45374805