What is the Least Common Multiple of 18135 and 18149?

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 18135 and 18149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18135 and 18149, than apply into the LCM equation.

GCF(18135,18149) = 1
LCM(18135,18149) = ( 18135 × 18149) / 1
LCM(18135,18149) = 329132115 / 1
LCM(18135,18149) = 329132115

Least Common Multiple (LCM) of 18135 and 18149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18135 and 18149. First we will calculate the prime factors of 18135 and 18149.

Prime Factorization of 18135

Prime Factorization of 18149

Now multiplying the highest exponent prime factors to calculate the LCM of 18135 and 18149.

LCM(18135,18149) = 3² × 5¹ × 13¹ × 31¹ × 18149¹
LCM(18135,18149) = 329132115