What is the Least Common Multiple of 16275 and 16284?

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 16275 and 16284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16275 and 16284, than apply into the LCM equation.

GCF(16275,16284) = 3
LCM(16275,16284) = ( 16275 × 16284) / 3
LCM(16275,16284) = 265022100 / 3
LCM(16275,16284) = 88340700

Least Common Multiple (LCM) of 16275 and 16284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16275 and 16284. First we will calculate the prime factors of 16275 and 16284.

Prime Factorization of 16275

Prime Factorization of 16284

Now multiplying the highest exponent prime factors to calculate the LCM of 16275 and 16284.

LCM(16275,16284) = 3¹ × 5² × 7¹ × 31¹ × 2² × 23¹ × 59¹
LCM(16275,16284) = 88340700