What is the Least Common Multiple of 8016 and 8031?

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 8016 and 8031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8016 and 8031, than apply into the LCM equation.

GCF(8016,8031) = 3
LCM(8016,8031) = ( 8016 × 8031) / 3
LCM(8016,8031) = 64376496 / 3
LCM(8016,8031) = 21458832

Least Common Multiple (LCM) of 8016 and 8031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8016 and 8031. First we will calculate the prime factors of 8016 and 8031.

Prime Factorization of 8016

Prime Factorization of 8031

Now multiplying the highest exponent prime factors to calculate the LCM of 8016 and 8031.

LCM(8016,8031) = 2⁴ × 3¹ × 167¹ × 2677¹
LCM(8016,8031) = 21458832