What is the Least Common Multiple of 33305 and 33319?

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 33305 and 33319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33305 and 33319, than apply into the LCM equation.

GCF(33305,33319) = 1
LCM(33305,33319) = ( 33305 × 33319) / 1
LCM(33305,33319) = 1109689295 / 1
LCM(33305,33319) = 1109689295

Least Common Multiple (LCM) of 33305 and 33319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33305 and 33319. First we will calculate the prime factors of 33305 and 33319.

Prime Factorization of 33305

Prime Factorization of 33319

Now multiplying the highest exponent prime factors to calculate the LCM of 33305 and 33319.

LCM(33305,33319) = 5¹ × 6661¹ × 11¹ × 13¹ × 233¹
LCM(33305,33319) = 1109689295