What is the Least Common Multiple of 13284 and 13289?

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 13284 and 13289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13284 and 13289, than apply into the LCM equation.

GCF(13284,13289) = 1
LCM(13284,13289) = ( 13284 × 13289) / 1
LCM(13284,13289) = 176531076 / 1
LCM(13284,13289) = 176531076

Least Common Multiple (LCM) of 13284 and 13289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13284 and 13289. First we will calculate the prime factors of 13284 and 13289.

Prime Factorization of 13284

Prime Factorization of 13289

Now multiplying the highest exponent prime factors to calculate the LCM of 13284 and 13289.

LCM(13284,13289) = 2² × 3⁴ × 41¹ × 97¹ × 137¹
LCM(13284,13289) = 176531076