What is the Least Common Multiple of 16280 and 16287?

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 16280 and 16287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16280 and 16287, than apply into the LCM equation.

GCF(16280,16287) = 1
LCM(16280,16287) = ( 16280 × 16287) / 1
LCM(16280,16287) = 265152360 / 1
LCM(16280,16287) = 265152360

Least Common Multiple (LCM) of 16280 and 16287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16280 and 16287. First we will calculate the prime factors of 16280 and 16287.

Prime Factorization of 16280

Prime Factorization of 16287

Now multiplying the highest exponent prime factors to calculate the LCM of 16280 and 16287.

LCM(16280,16287) = 2³ × 5¹ × 11¹ × 37¹ × 3¹ × 61¹ × 89¹
LCM(16280,16287) = 265152360