What is the Least Common Multiple of 33085 and 33105?

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 33085 and 33105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33085 and 33105, than apply into the LCM equation.

GCF(33085,33105) = 5
LCM(33085,33105) = ( 33085 × 33105) / 5
LCM(33085,33105) = 1095278925 / 5
LCM(33085,33105) = 219055785

Least Common Multiple (LCM) of 33085 and 33105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33085 and 33105. First we will calculate the prime factors of 33085 and 33105.

Prime Factorization of 33085

Prime Factorization of 33105

Now multiplying the highest exponent prime factors to calculate the LCM of 33085 and 33105.

LCM(33085,33105) = 5¹ × 13¹ × 509¹ × 3¹ × 2207¹
LCM(33085,33105) = 219055785