What is the Least Common Multiple of 11016 and 11031?

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 11016 and 11031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11016 and 11031, than apply into the LCM equation.

GCF(11016,11031) = 3
LCM(11016,11031) = ( 11016 × 11031) / 3
LCM(11016,11031) = 121517496 / 3
LCM(11016,11031) = 40505832

Least Common Multiple (LCM) of 11016 and 11031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11016 and 11031. First we will calculate the prime factors of 11016 and 11031.

Prime Factorization of 11016

Prime Factorization of 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 11016 and 11031.

LCM(11016,11031) = 2³ × 3⁴ × 17¹ × 3677¹
LCM(11016,11031) = 40505832