What is the Least Common Multiple of 11009 and 11026?

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 11009 and 11026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11009 and 11026, than apply into the LCM equation.

GCF(11009,11026) = 1
LCM(11009,11026) = ( 11009 × 11026) / 1
LCM(11009,11026) = 121385234 / 1
LCM(11009,11026) = 121385234

Least Common Multiple (LCM) of 11009 and 11026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11009 and 11026. First we will calculate the prime factors of 11009 and 11026.

Prime Factorization of 11009

Prime Factorization of 11026

Now multiplying the highest exponent prime factors to calculate the LCM of 11009 and 11026.

LCM(11009,11026) = 101¹ × 109¹ × 2¹ × 37¹ × 149¹
LCM(11009,11026) = 121385234