What is the Least Common Multiple of 33045 and 33055?

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 33045 and 33055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33045 and 33055, than apply into the LCM equation.

GCF(33045,33055) = 5
LCM(33045,33055) = ( 33045 × 33055) / 5
LCM(33045,33055) = 1092302475 / 5
LCM(33045,33055) = 218460495

Least Common Multiple (LCM) of 33045 and 33055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33045 and 33055. First we will calculate the prime factors of 33045 and 33055.

Prime Factorization of 33045

Prime Factorization of 33055

Now multiplying the highest exponent prime factors to calculate the LCM of 33045 and 33055.

LCM(33045,33055) = 3¹ × 5¹ × 2203¹ × 11¹ × 601¹
LCM(33045,33055) = 218460495