What is the Least Common Multiple of 8032 and 8046?

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 8032 and 8046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8032 and 8046, than apply into the LCM equation.

GCF(8032,8046) = 2
LCM(8032,8046) = ( 8032 × 8046) / 2
LCM(8032,8046) = 64625472 / 2
LCM(8032,8046) = 32312736

Least Common Multiple (LCM) of 8032 and 8046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8032 and 8046. First we will calculate the prime factors of 8032 and 8046.

Prime Factorization of 8032

Prime Factorization of 8046

Now multiplying the highest exponent prime factors to calculate the LCM of 8032 and 8046.

LCM(8032,8046) = 2⁵ × 251¹ × 3³ × 149¹
LCM(8032,8046) = 32312736