What is the Least Common Multiple of 15589 and 15608?

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 15589 and 15608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15589 and 15608, than apply into the LCM equation.

GCF(15589,15608) = 1
LCM(15589,15608) = ( 15589 × 15608) / 1
LCM(15589,15608) = 243313112 / 1
LCM(15589,15608) = 243313112

Least Common Multiple (LCM) of 15589 and 15608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15589 and 15608. First we will calculate the prime factors of 15589 and 15608.

Prime Factorization of 15589

Prime Factorization of 15608

Now multiplying the highest exponent prime factors to calculate the LCM of 15589 and 15608.

LCM(15589,15608) = 7¹ × 17¹ × 131¹ × 2³ × 1951¹
LCM(15589,15608) = 243313112