What is the Least Common Multiple of 14016 and 14031?

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 14016 and 14031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14016 and 14031, than apply into the LCM equation.

GCF(14016,14031) = 3
LCM(14016,14031) = ( 14016 × 14031) / 3
LCM(14016,14031) = 196658496 / 3
LCM(14016,14031) = 65552832

Least Common Multiple (LCM) of 14016 and 14031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14016 and 14031. First we will calculate the prime factors of 14016 and 14031.

Prime Factorization of 14016

Prime Factorization of 14031

Now multiplying the highest exponent prime factors to calculate the LCM of 14016 and 14031.

LCM(14016,14031) = 2⁶ × 3² × 73¹ × 1559¹
LCM(14016,14031) = 65552832