What is the Least Common Multiple of 11085 and 11100?

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 11085 and 11100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11085 and 11100, than apply into the LCM equation.

GCF(11085,11100) = 15
LCM(11085,11100) = ( 11085 × 11100) / 15
LCM(11085,11100) = 123043500 / 15
LCM(11085,11100) = 8202900

Least Common Multiple (LCM) of 11085 and 11100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11085 and 11100. First we will calculate the prime factors of 11085 and 11100.

Prime Factorization of 11085

Prime Factorization of 11100

Now multiplying the highest exponent prime factors to calculate the LCM of 11085 and 11100.

LCM(11085,11100) = 3¹ × 5² × 739¹ × 2² × 37¹
LCM(11085,11100) = 8202900