What is the Least Common Multiple of 16543 and 16563?

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 16543 and 16563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16543 and 16563, than apply into the LCM equation.

GCF(16543,16563) = 1
LCM(16543,16563) = ( 16543 × 16563) / 1
LCM(16543,16563) = 274001709 / 1
LCM(16543,16563) = 274001709

Least Common Multiple (LCM) of 16543 and 16563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16543 and 16563. First we will calculate the prime factors of 16543 and 16563.

Prime Factorization of 16543

Prime Factorization of 16563

Now multiplying the highest exponent prime factors to calculate the LCM of 16543 and 16563.

LCM(16543,16563) = 71¹ × 233¹ × 3¹ × 5521¹
LCM(16543,16563) = 274001709