What is the Least Common Multiple of 11005 and 11022?

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 11005 and 11022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11005 and 11022, than apply into the LCM equation.

GCF(11005,11022) = 1
LCM(11005,11022) = ( 11005 × 11022) / 1
LCM(11005,11022) = 121297110 / 1
LCM(11005,11022) = 121297110

Least Common Multiple (LCM) of 11005 and 11022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11005 and 11022. First we will calculate the prime factors of 11005 and 11022.

Prime Factorization of 11005

Prime Factorization of 11022

Now multiplying the highest exponent prime factors to calculate the LCM of 11005 and 11022.

LCM(11005,11022) = 5¹ × 31¹ × 71¹ × 2¹ × 3¹ × 11¹ × 167¹
LCM(11005,11022) = 121297110