What is the Least Common Multiple of 33285 and 33305?

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 33285 and 33305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33285 and 33305, than apply into the LCM equation.

GCF(33285,33305) = 5
LCM(33285,33305) = ( 33285 × 33305) / 5
LCM(33285,33305) = 1108556925 / 5
LCM(33285,33305) = 221711385

Least Common Multiple (LCM) of 33285 and 33305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33285 and 33305. First we will calculate the prime factors of 33285 and 33305.

Prime Factorization of 33285

Prime Factorization of 33305

Now multiplying the highest exponent prime factors to calculate the LCM of 33285 and 33305.

LCM(33285,33305) = 3¹ × 5¹ × 7¹ × 317¹ × 6661¹
LCM(33285,33305) = 221711385