What is the Least Common Multiple of 17589 and 17607?

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 17589 and 17607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17589 and 17607, than apply into the LCM equation.

GCF(17589,17607) = 3
LCM(17589,17607) = ( 17589 × 17607) / 3
LCM(17589,17607) = 309689523 / 3
LCM(17589,17607) = 103229841

Least Common Multiple (LCM) of 17589 and 17607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17589 and 17607. First we will calculate the prime factors of 17589 and 17607.

Prime Factorization of 17589

Prime Factorization of 17607

Now multiplying the highest exponent prime factors to calculate the LCM of 17589 and 17607.

LCM(17589,17607) = 3¹ × 11¹ × 13¹ × 41¹ × 5869¹
LCM(17589,17607) = 103229841