What is the Least Common Multiple of 1014 and 1032?

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 1014 and 1032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1014 and 1032, than apply into the LCM equation.

GCF(1014,1032) = 6
LCM(1014,1032) = ( 1014 × 1032) / 6
LCM(1014,1032) = 1046448 / 6
LCM(1014,1032) = 174408

Least Common Multiple (LCM) of 1014 and 1032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1032. First we will calculate the prime factors of 1014 and 1032.

Prime Factorization of 1014

Prime Factorization of 1032

Now multiplying the highest exponent prime factors to calculate the LCM of 1014 and 1032.

LCM(1014,1032) = 2³ × 3¹ × 13² × 43¹
LCM(1014,1032) = 174408