What is the Least Common Multiple of 33805 and 33825?

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 33825 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 33825, than apply into the LCM equation.

GCF(33805,33825) = 5
LCM(33805,33825) = ( 33805 × 33825) / 5
LCM(33805,33825) = 1143454125 / 5
LCM(33805,33825) = 228690825

Least Common Multiple (LCM) of 33805 and 33825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33805 and 33825. First we will calculate the prime factors of 33805 and 33825.

Prime Factorization of 33805

Prime Factorization of 33825

Now multiplying the highest exponent prime factors to calculate the LCM of 33805 and 33825.

LCM(33805,33825) = 5² × 6761¹ × 3¹ × 11¹ × 41¹
LCM(33805,33825) = 228690825