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What is the Least Common Multiple of 18016 and 18032?

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 (LCM) of 18016 and 18032 is 20304032.

LCM(18016,18032) = 20304032

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Least Common Multiple of 18016 and 18032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18016 and 18032, than apply into the LCM equation.

GCF(18016,18032) = 16
LCM(18016,18032) = ( 18016 × 18032) / 16
LCM(18016,18032) = 324864512 / 16
LCM(18016,18032) = 20304032

Least Common Multiple (LCM) of 18016 and 18032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18016 and 18032. First we will calculate the prime factors of 18016 and 18032.

Prime Factorization of 18016

Prime factors of 18016 are 2, 563. Prime factorization of 18016 in exponential form is:

18016 = 25 × 5631

Prime Factorization of 18032

Prime factors of 18032 are 2, 7, 23. Prime factorization of 18032 in exponential form is:

18032 = 24 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18016 and 18032.

LCM(18016,18032) = 25 × 5631 × 72 × 231
LCM(18016,18032) = 20304032