What is the Least Common Multiple of 22016 and 22033?

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 22016 and 22033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22016 and 22033, than apply into the LCM equation.

GCF(22016,22033) = 1
LCM(22016,22033) = ( 22016 × 22033) / 1
LCM(22016,22033) = 485078528 / 1
LCM(22016,22033) = 485078528

Least Common Multiple (LCM) of 22016 and 22033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22016 and 22033. First we will calculate the prime factors of 22016 and 22033.

Prime Factorization of 22016

Prime Factorization of 22033

Now multiplying the highest exponent prime factors to calculate the LCM of 22016 and 22033.

LCM(22016,22033) = 2⁹ × 43¹ × 11¹ × 2003¹
LCM(22016,22033) = 485078528