What is the Least Common Multiple of 18018 and 18029?

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 18018 and 18029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18018 and 18029, than apply into the LCM equation.

GCF(18018,18029) = 11
LCM(18018,18029) = ( 18018 × 18029) / 11
LCM(18018,18029) = 324846522 / 11
LCM(18018,18029) = 29531502

Least Common Multiple (LCM) of 18018 and 18029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18018 and 18029. First we will calculate the prime factors of 18018 and 18029.

Prime Factorization of 18018

Prime Factorization of 18029

Now multiplying the highest exponent prime factors to calculate the LCM of 18018 and 18029.

LCM(18018,18029) = 2¹ × 3² × 7¹ × 11² × 13¹ × 149¹
LCM(18018,18029) = 29531502