What is the Least Common Multiple of 16260 and 16275?

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 16260 and 16275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16260 and 16275, than apply into the LCM equation.

GCF(16260,16275) = 15
LCM(16260,16275) = ( 16260 × 16275) / 15
LCM(16260,16275) = 264631500 / 15
LCM(16260,16275) = 17642100

Least Common Multiple (LCM) of 16260 and 16275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16260 and 16275. First we will calculate the prime factors of 16260 and 16275.

Prime Factorization of 16260

Prime Factorization of 16275

Now multiplying the highest exponent prime factors to calculate the LCM of 16260 and 16275.

LCM(16260,16275) = 2² × 3¹ × 5² × 271¹ × 7¹ × 31¹
LCM(16260,16275) = 17642100