What is the Least Common Multiple of 33205 and 33210?

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 33205 and 33210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33205 and 33210, than apply into the LCM equation.

GCF(33205,33210) = 5
LCM(33205,33210) = ( 33205 × 33210) / 5
LCM(33205,33210) = 1102738050 / 5
LCM(33205,33210) = 220547610

Least Common Multiple (LCM) of 33205 and 33210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33205 and 33210. First we will calculate the prime factors of 33205 and 33210.

Prime Factorization of 33205

Prime Factorization of 33210

Now multiplying the highest exponent prime factors to calculate the LCM of 33205 and 33210.

LCM(33205,33210) = 5¹ × 29¹ × 229¹ × 2¹ × 3⁴ × 41¹
LCM(33205,33210) = 220547610