What is the Least Common Multiple of 17598 and 17605?

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 17598 and 17605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17598 and 17605, than apply into the LCM equation.

GCF(17598,17605) = 7
LCM(17598,17605) = ( 17598 × 17605) / 7
LCM(17598,17605) = 309812790 / 7
LCM(17598,17605) = 44258970

Least Common Multiple (LCM) of 17598 and 17605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17598 and 17605. First we will calculate the prime factors of 17598 and 17605.

Prime Factorization of 17598

Prime Factorization of 17605

Now multiplying the highest exponent prime factors to calculate the LCM of 17598 and 17605.

LCM(17598,17605) = 2¹ × 3¹ × 7¹ × 419¹ × 5¹ × 503¹
LCM(17598,17605) = 44258970