What is the Least Common Multiple of 11023 and 11029?

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 11023 and 11029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11023 and 11029, than apply into the LCM equation.

GCF(11023,11029) = 1
LCM(11023,11029) = ( 11023 × 11029) / 1
LCM(11023,11029) = 121572667 / 1
LCM(11023,11029) = 121572667

Least Common Multiple (LCM) of 11023 and 11029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11023 and 11029. First we will calculate the prime factors of 11023 and 11029.

Prime Factorization of 11023

Prime Factorization of 11029

Now multiplying the highest exponent prime factors to calculate the LCM of 11023 and 11029.

LCM(11023,11029) = 73¹ × 151¹ × 41¹ × 269¹
LCM(11023,11029) = 121572667