What is the Least Common Multiple of 5599 and 5605?

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 5599 and 5605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5599 and 5605, than apply into the LCM equation.

GCF(5599,5605) = 1
LCM(5599,5605) = ( 5599 × 5605) / 1
LCM(5599,5605) = 31382395 / 1
LCM(5599,5605) = 31382395

Least Common Multiple (LCM) of 5599 and 5605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5599 and 5605. First we will calculate the prime factors of 5599 and 5605.

Prime Factorization of 5599

Prime Factorization of 5605

Now multiplying the highest exponent prime factors to calculate the LCM of 5599 and 5605.

LCM(5599,5605) = 11¹ × 509¹ × 5¹ × 19¹ × 59¹
LCM(5599,5605) = 31382395