What is the Least Common Multiple of 16275 and 16288?

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 16288 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 16288, than apply into the LCM equation.

GCF(16275,16288) = 1
LCM(16275,16288) = ( 16275 × 16288) / 1
LCM(16275,16288) = 265087200 / 1
LCM(16275,16288) = 265087200

Least Common Multiple (LCM) of 16275 and 16288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16275 and 16288. First we will calculate the prime factors of 16275 and 16288.

Prime Factorization of 16275

Prime Factorization of 16288

Now multiplying the highest exponent prime factors to calculate the LCM of 16275 and 16288.

LCM(16275,16288) = 3¹ × 5² × 7¹ × 31¹ × 2⁵ × 509¹
LCM(16275,16288) = 265087200