What is the Least Common Multiple of 17790 and 17805?

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 17790 and 17805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17790 and 17805, than apply into the LCM equation.

GCF(17790,17805) = 15
LCM(17790,17805) = ( 17790 × 17805) / 15
LCM(17790,17805) = 316750950 / 15
LCM(17790,17805) = 21116730

Least Common Multiple (LCM) of 17790 and 17805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17790 and 17805. First we will calculate the prime factors of 17790 and 17805.

Prime Factorization of 17790

Prime Factorization of 17805

Now multiplying the highest exponent prime factors to calculate the LCM of 17790 and 17805.

LCM(17790,17805) = 2¹ × 3¹ × 5¹ × 593¹ × 1187¹
LCM(17790,17805) = 21116730