What is the Least Common Multiple of 13275 and 13284?

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 13275 and 13284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13275 and 13284, than apply into the LCM equation.

GCF(13275,13284) = 9
LCM(13275,13284) = ( 13275 × 13284) / 9
LCM(13275,13284) = 176345100 / 9
LCM(13275,13284) = 19593900

Least Common Multiple (LCM) of 13275 and 13284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13275 and 13284. First we will calculate the prime factors of 13275 and 13284.

Prime Factorization of 13275

Prime Factorization of 13284

Now multiplying the highest exponent prime factors to calculate the LCM of 13275 and 13284.

LCM(13275,13284) = 3⁴ × 5² × 59¹ × 2² × 41¹
LCM(13275,13284) = 19593900