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What is the Least Common Multiple of 18096 and 18112?

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 18096 and 18112 is 20484672.

LCM(18096,18112) = 20484672

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Least Common Multiple of 18096 and 18112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18096 and 18112, than apply into the LCM equation.

GCF(18096,18112) = 16
LCM(18096,18112) = ( 18096 × 18112) / 16
LCM(18096,18112) = 327754752 / 16
LCM(18096,18112) = 20484672

Least Common Multiple (LCM) of 18096 and 18112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18096 and 18112. First we will calculate the prime factors of 18096 and 18112.

Prime Factorization of 18096

Prime factors of 18096 are 2, 3, 13, 29. Prime factorization of 18096 in exponential form is:

18096 = 24 × 31 × 131 × 291

Prime Factorization of 18112

Prime factors of 18112 are 2, 283. Prime factorization of 18112 in exponential form is:

18112 = 26 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 18096 and 18112.

LCM(18096,18112) = 26 × 31 × 131 × 291 × 2831
LCM(18096,18112) = 20484672