What is the Least Common Multiple of 13185 and 13189?

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 13185 and 13189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13185 and 13189, than apply into the LCM equation.

GCF(13185,13189) = 1
LCM(13185,13189) = ( 13185 × 13189) / 1
LCM(13185,13189) = 173896965 / 1
LCM(13185,13189) = 173896965

Least Common Multiple (LCM) of 13185 and 13189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13185 and 13189. First we will calculate the prime factors of 13185 and 13189.

Prime Factorization of 13185

Prime Factorization of 13189

Now multiplying the highest exponent prime factors to calculate the LCM of 13185 and 13189.

LCM(13185,13189) = 3² × 5¹ × 293¹ × 11² × 109¹
LCM(13185,13189) = 173896965