What is the Least Common Multiple of 33200 and 33205?

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 33200 and 33205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33200 and 33205, than apply into the LCM equation.

GCF(33200,33205) = 5
LCM(33200,33205) = ( 33200 × 33205) / 5
LCM(33200,33205) = 1102406000 / 5
LCM(33200,33205) = 220481200

Least Common Multiple (LCM) of 33200 and 33205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33200 and 33205. First we will calculate the prime factors of 33200 and 33205.

Prime Factorization of 33200

Prime Factorization of 33205

Now multiplying the highest exponent prime factors to calculate the LCM of 33200 and 33205.

LCM(33200,33205) = 2⁴ × 5² × 83¹ × 29¹ × 229¹
LCM(33200,33205) = 220481200