What is the Least Common Multiple of 33032 and 33047?

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 33032 and 33047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33032 and 33047, than apply into the LCM equation.

GCF(33032,33047) = 1
LCM(33032,33047) = ( 33032 × 33047) / 1
LCM(33032,33047) = 1091608504 / 1
LCM(33032,33047) = 1091608504

Least Common Multiple (LCM) of 33032 and 33047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33032 and 33047. First we will calculate the prime factors of 33032 and 33047.

Prime Factorization of 33032

Prime Factorization of 33047

Now multiplying the highest exponent prime factors to calculate the LCM of 33032 and 33047.

LCM(33032,33047) = 2³ × 4129¹ × 7¹ × 4721¹
LCM(33032,33047) = 1091608504