What is the Least Common Multiple of 5500 and 5514?

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 5500 and 5514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5500 and 5514, than apply into the LCM equation.

GCF(5500,5514) = 2
LCM(5500,5514) = ( 5500 × 5514) / 2
LCM(5500,5514) = 30327000 / 2
LCM(5500,5514) = 15163500

Least Common Multiple (LCM) of 5500 and 5514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5500 and 5514. First we will calculate the prime factors of 5500 and 5514.

Prime Factorization of 5500

Prime Factorization of 5514

Now multiplying the highest exponent prime factors to calculate the LCM of 5500 and 5514.

LCM(5500,5514) = 2² × 5³ × 11¹ × 3¹ × 919¹
LCM(5500,5514) = 15163500