What is the Least Common Multiple of 13185 and 13197?

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 13197 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 13197, than apply into the LCM equation.

GCF(13185,13197) = 3
LCM(13185,13197) = ( 13185 × 13197) / 3
LCM(13185,13197) = 174002445 / 3
LCM(13185,13197) = 58000815

Least Common Multiple (LCM) of 13185 and 13197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13185 and 13197. First we will calculate the prime factors of 13185 and 13197.

Prime Factorization of 13185

Prime Factorization of 13197

Now multiplying the highest exponent prime factors to calculate the LCM of 13185 and 13197.

LCM(13185,13197) = 3² × 5¹ × 293¹ × 53¹ × 83¹
LCM(13185,13197) = 58000815