What is the Least Common Multiple of 11005 and 11011?

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 11011 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 11011, than apply into the LCM equation.

GCF(11005,11011) = 1
LCM(11005,11011) = ( 11005 × 11011) / 1
LCM(11005,11011) = 121176055 / 1
LCM(11005,11011) = 121176055

Least Common Multiple (LCM) of 11005 and 11011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11005 and 11011. First we will calculate the prime factors of 11005 and 11011.

Prime Factorization of 11005

Prime Factorization of 11011

Now multiplying the highest exponent prime factors to calculate the LCM of 11005 and 11011.

LCM(11005,11011) = 5¹ × 31¹ × 71¹ × 7¹ × 11² × 13¹
LCM(11005,11011) = 121176055