What is the Least Common Multiple of 52016 and 52031?

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 52016 and 52031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52016 and 52031, than apply into the LCM equation.

GCF(52016,52031) = 1
LCM(52016,52031) = ( 52016 × 52031) / 1
LCM(52016,52031) = 2706444496 / 1
LCM(52016,52031) = 2706444496

Least Common Multiple (LCM) of 52016 and 52031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52016 and 52031. First we will calculate the prime factors of 52016 and 52031.

Prime Factorization of 52016

Prime Factorization of 52031

Now multiplying the highest exponent prime factors to calculate the LCM of 52016 and 52031.

LCM(52016,52031) = 2⁴ × 3251¹ × 7¹ × 7433¹
LCM(52016,52031) = 2706444496