What is the Least Common Multiple of 16275 and 16282?

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 16282 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 16282, than apply into the LCM equation.

GCF(16275,16282) = 7
LCM(16275,16282) = ( 16275 × 16282) / 7
LCM(16275,16282) = 264989550 / 7
LCM(16275,16282) = 37855650

Least Common Multiple (LCM) of 16275 and 16282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16275 and 16282. First we will calculate the prime factors of 16275 and 16282.

Prime Factorization of 16275

Prime Factorization of 16282

Now multiplying the highest exponent prime factors to calculate the LCM of 16275 and 16282.

LCM(16275,16282) = 3¹ × 5² × 7¹ × 31¹ × 2¹ × 1163¹
LCM(16275,16282) = 37855650