What is the Least Common Multiple of 5539 and 5550?

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 5539 and 5550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5539 and 5550, than apply into the LCM equation.

GCF(5539,5550) = 1
LCM(5539,5550) = ( 5539 × 5550) / 1
LCM(5539,5550) = 30741450 / 1
LCM(5539,5550) = 30741450

Least Common Multiple (LCM) of 5539 and 5550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5539 and 5550. First we will calculate the prime factors of 5539 and 5550.

Prime Factorization of 5539

Prime Factorization of 5550

Now multiplying the highest exponent prime factors to calculate the LCM of 5539 and 5550.

LCM(5539,5550) = 29¹ × 191¹ × 2¹ × 3¹ × 5² × 37¹
LCM(5539,5550) = 30741450