What is the Least Common Multiple of 33014 and 33027?

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 33014 and 33027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33014 and 33027, than apply into the LCM equation.

GCF(33014,33027) = 1
LCM(33014,33027) = ( 33014 × 33027) / 1
LCM(33014,33027) = 1090353378 / 1
LCM(33014,33027) = 1090353378

Least Common Multiple (LCM) of 33014 and 33027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33014 and 33027. First we will calculate the prime factors of 33014 and 33027.

Prime Factorization of 33014

Prime Factorization of 33027

Now multiplying the highest exponent prime factors to calculate the LCM of 33014 and 33027.

LCM(33014,33027) = 2¹ × 17¹ × 971¹ × 3¹ × 101¹ × 109¹
LCM(33014,33027) = 1090353378