What is the Least Common Multiple of 17580 and 17598?

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 17580 and 17598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17580 and 17598, than apply into the LCM equation.

GCF(17580,17598) = 6
LCM(17580,17598) = ( 17580 × 17598) / 6
LCM(17580,17598) = 309372840 / 6
LCM(17580,17598) = 51562140

Least Common Multiple (LCM) of 17580 and 17598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17580 and 17598. First we will calculate the prime factors of 17580 and 17598.

Prime Factorization of 17580

Prime Factorization of 17598

Now multiplying the highest exponent prime factors to calculate the LCM of 17580 and 17598.

LCM(17580,17598) = 2² × 3¹ × 5¹ × 293¹ × 7¹ × 419¹
LCM(17580,17598) = 51562140