What is the Least Common Multiple of 33790 and 33805?

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 33790 and 33805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33790 and 33805, than apply into the LCM equation.

GCF(33790,33805) = 5
LCM(33790,33805) = ( 33790 × 33805) / 5
LCM(33790,33805) = 1142270950 / 5
LCM(33790,33805) = 228454190

Least Common Multiple (LCM) of 33790 and 33805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33790 and 33805. First we will calculate the prime factors of 33790 and 33805.

Prime Factorization of 33790

Prime Factorization of 33805

Now multiplying the highest exponent prime factors to calculate the LCM of 33790 and 33805.

LCM(33790,33805) = 2¹ × 5¹ × 31¹ × 109¹ × 6761¹
LCM(33790,33805) = 228454190