What is the Least Common Multiple of 33012 and 33029?

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 33012 and 33029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33012 and 33029, than apply into the LCM equation.

GCF(33012,33029) = 1
LCM(33012,33029) = ( 33012 × 33029) / 1
LCM(33012,33029) = 1090353348 / 1
LCM(33012,33029) = 1090353348

Least Common Multiple (LCM) of 33012 and 33029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33012 and 33029. First we will calculate the prime factors of 33012 and 33029.

Prime Factorization of 33012

Prime Factorization of 33029

Now multiplying the highest exponent prime factors to calculate the LCM of 33012 and 33029.

LCM(33012,33029) = 2² × 3² × 7¹ × 131¹ × 33029¹
LCM(33012,33029) = 1090353348