What is the Least Common Multiple of 33785 and 33804?

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 33785 and 33804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33785 and 33804, than apply into the LCM equation.

GCF(33785,33804) = 1
LCM(33785,33804) = ( 33785 × 33804) / 1
LCM(33785,33804) = 1142068140 / 1
LCM(33785,33804) = 1142068140

Least Common Multiple (LCM) of 33785 and 33804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33785 and 33804. First we will calculate the prime factors of 33785 and 33804.

Prime Factorization of 33785

Prime Factorization of 33804

Now multiplying the highest exponent prime factors to calculate the LCM of 33785 and 33804.

LCM(33785,33804) = 5¹ × 29¹ × 233¹ × 2² × 3³ × 313¹
LCM(33785,33804) = 1142068140