What is the Least Common Multiple of 16268 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 16268 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 16268 and 16275, than apply into the LCM equation.

GCF(16268,16275) = 7
LCM(16268,16275) = ( 16268 × 16275) / 7
LCM(16268,16275) = 264761700 / 7
LCM(16268,16275) = 37823100

Least Common Multiple (LCM) of 16268 and 16275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16268 and 16275. First we will calculate the prime factors of 16268 and 16275.

Prime Factorization of 16268

Prime Factorization of 16275

Now multiplying the highest exponent prime factors to calculate the LCM of 16268 and 16275.

LCM(16268,16275) = 2² × 7² × 83¹ × 3¹ × 5² × 31¹
LCM(16268,16275) = 37823100