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What is the Least Common Multiple of 18481 and 18496?

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 18481 and 18496 is 341824576.

LCM(18481,18496) = 341824576

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Least Common Multiple of 18481 and 18496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18481 and 18496, than apply into the LCM equation.

GCF(18481,18496) = 1
LCM(18481,18496) = ( 18481 × 18496) / 1
LCM(18481,18496) = 341824576 / 1
LCM(18481,18496) = 341824576

Least Common Multiple (LCM) of 18481 and 18496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18481 and 18496. First we will calculate the prime factors of 18481 and 18496.

Prime Factorization of 18481

Prime factors of 18481 are 18481. Prime factorization of 18481 in exponential form is:

18481 = 184811

Prime Factorization of 18496

Prime factors of 18496 are 2, 17. Prime factorization of 18496 in exponential form is:

18496 = 26 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 18481 and 18496.

LCM(18481,18496) = 184811 × 26 × 172
LCM(18481,18496) = 341824576