GCF and LCM Calculator Logo

What is the Least Common Multiple of 16593 and 16606?

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 (LCM) of 16593 and 16606 is 275543358.

LCM(16593,16606) = 275543358

LCM Calculator and
and

Least Common Multiple of 16593 and 16606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16593 and 16606, than apply into the LCM equation.

GCF(16593,16606) = 1
LCM(16593,16606) = ( 16593 × 16606) / 1
LCM(16593,16606) = 275543358 / 1
LCM(16593,16606) = 275543358

Least Common Multiple (LCM) of 16593 and 16606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16593 and 16606. First we will calculate the prime factors of 16593 and 16606.

Prime Factorization of 16593

Prime factors of 16593 are 3, 5531. Prime factorization of 16593 in exponential form is:

16593 = 31 × 55311

Prime Factorization of 16606

Prime factors of 16606 are 2, 19, 23. Prime factorization of 16606 in exponential form is:

16606 = 21 × 192 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 16593 and 16606.

LCM(16593,16606) = 31 × 55311 × 21 × 192 × 231
LCM(16593,16606) = 275543358