What is the Least Common Multiple of 16544 and 16564?

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 16544 and 16564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16544 and 16564, than apply into the LCM equation.

GCF(16544,16564) = 4
LCM(16544,16564) = ( 16544 × 16564) / 4
LCM(16544,16564) = 274034816 / 4
LCM(16544,16564) = 68508704

Least Common Multiple (LCM) of 16544 and 16564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16544 and 16564. First we will calculate the prime factors of 16544 and 16564.

Prime Factorization of 16544

Prime Factorization of 16564

Now multiplying the highest exponent prime factors to calculate the LCM of 16544 and 16564.

LCM(16544,16564) = 2⁵ × 11¹ × 47¹ × 41¹ × 101¹
LCM(16544,16564) = 68508704