What is the Least Common Multiple of 33000 and 33013?

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 33000 and 33013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33000 and 33013, than apply into the LCM equation.

GCF(33000,33013) = 1
LCM(33000,33013) = ( 33000 × 33013) / 1
LCM(33000,33013) = 1089429000 / 1
LCM(33000,33013) = 1089429000

Least Common Multiple (LCM) of 33000 and 33013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33000 and 33013. First we will calculate the prime factors of 33000 and 33013.

Prime Factorization of 33000

Prime Factorization of 33013

Now multiplying the highest exponent prime factors to calculate the LCM of 33000 and 33013.

LCM(33000,33013) = 2³ × 3¹ × 5³ × 11¹ × 33013¹
LCM(33000,33013) = 1089429000