What is the Least Common Multiple of 33805 and 33820?

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 33805 and 33820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33805 and 33820, than apply into the LCM equation.

GCF(33805,33820) = 5
LCM(33805,33820) = ( 33805 × 33820) / 5
LCM(33805,33820) = 1143285100 / 5
LCM(33805,33820) = 228657020

Least Common Multiple (LCM) of 33805 and 33820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33805 and 33820. First we will calculate the prime factors of 33805 and 33820.

Prime Factorization of 33805

Prime Factorization of 33820

Now multiplying the highest exponent prime factors to calculate the LCM of 33805 and 33820.

LCM(33805,33820) = 5¹ × 6761¹ × 2² × 19¹ × 89¹
LCM(33805,33820) = 228657020