What is the Least Common Multiple of 5590 and 5599?

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 5590 and 5599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5590 and 5599, than apply into the LCM equation.

GCF(5590,5599) = 1
LCM(5590,5599) = ( 5590 × 5599) / 1
LCM(5590,5599) = 31298410 / 1
LCM(5590,5599) = 31298410

Least Common Multiple (LCM) of 5590 and 5599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5590 and 5599. First we will calculate the prime factors of 5590 and 5599.

Prime Factorization of 5590

Prime Factorization of 5599

Now multiplying the highest exponent prime factors to calculate the LCM of 5590 and 5599.

LCM(5590,5599) = 2¹ × 5¹ × 13¹ × 43¹ × 11¹ × 509¹
LCM(5590,5599) = 31298410