What is the Least Common Multiple of 5545 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 5545 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 5545 and 5550, than apply into the LCM equation.

GCF(5545,5550) = 5
LCM(5545,5550) = ( 5545 × 5550) / 5
LCM(5545,5550) = 30774750 / 5
LCM(5545,5550) = 6154950

Least Common Multiple (LCM) of 5545 and 5550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5545 and 5550. First we will calculate the prime factors of 5545 and 5550.

Prime Factorization of 5545

Prime Factorization of 5550

Now multiplying the highest exponent prime factors to calculate the LCM of 5545 and 5550.

LCM(5545,5550) = 5² × 1109¹ × 2¹ × 3¹ × 37¹
LCM(5545,5550) = 6154950