What is the Least Common Multiple of 11000 and 11009?

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 11000 and 11009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11000 and 11009, than apply into the LCM equation.

GCF(11000,11009) = 1
LCM(11000,11009) = ( 11000 × 11009) / 1
LCM(11000,11009) = 121099000 / 1
LCM(11000,11009) = 121099000

Least Common Multiple (LCM) of 11000 and 11009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11000 and 11009. First we will calculate the prime factors of 11000 and 11009.

Prime Factorization of 11000

Prime Factorization of 11009

Now multiplying the highest exponent prime factors to calculate the LCM of 11000 and 11009.

LCM(11000,11009) = 2³ × 5³ × 11¹ × 101¹ × 109¹
LCM(11000,11009) = 121099000