What is the Least Common Multiple of 33269 and 33281?

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 33269 and 33281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33269 and 33281, than apply into the LCM equation.

GCF(33269,33281) = 1
LCM(33269,33281) = ( 33269 × 33281) / 1
LCM(33269,33281) = 1107225589 / 1
LCM(33269,33281) = 1107225589

Least Common Multiple (LCM) of 33269 and 33281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33269 and 33281. First we will calculate the prime factors of 33269 and 33281.

Prime Factorization of 33269

Prime Factorization of 33281

Now multiplying the highest exponent prime factors to calculate the LCM of 33269 and 33281.

LCM(33269,33281) = 17¹ × 19¹ × 103¹ × 23¹ × 1447¹
LCM(33269,33281) = 1107225589