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What is the Least Common Multiple of 18242 and 18256?

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 18242 and 18256 is 23787568.

LCM(18242,18256) = 23787568

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Least Common Multiple of 18242 and 18256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18242 and 18256, than apply into the LCM equation.

GCF(18242,18256) = 14
LCM(18242,18256) = ( 18242 × 18256) / 14
LCM(18242,18256) = 333025952 / 14
LCM(18242,18256) = 23787568

Least Common Multiple (LCM) of 18242 and 18256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18242 and 18256. First we will calculate the prime factors of 18242 and 18256.

Prime Factorization of 18242

Prime factors of 18242 are 2, 7, 1303. Prime factorization of 18242 in exponential form is:

18242 = 21 × 71 × 13031

Prime Factorization of 18256

Prime factors of 18256 are 2, 7, 163. Prime factorization of 18256 in exponential form is:

18256 = 24 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 18242 and 18256.

LCM(18242,18256) = 24 × 71 × 13031 × 1631
LCM(18242,18256) = 23787568