What is the Least Common Multiple of 11004 and 11018?

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 11004 and 11018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11004 and 11018, than apply into the LCM equation.

GCF(11004,11018) = 14
LCM(11004,11018) = ( 11004 × 11018) / 14
LCM(11004,11018) = 121242072 / 14
LCM(11004,11018) = 8660148

Least Common Multiple (LCM) of 11004 and 11018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11004 and 11018. First we will calculate the prime factors of 11004 and 11018.

Prime Factorization of 11004

Prime Factorization of 11018

Now multiplying the highest exponent prime factors to calculate the LCM of 11004 and 11018.

LCM(11004,11018) = 2² × 3¹ × 7¹ × 131¹ × 787¹
LCM(11004,11018) = 8660148