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What is the Least Common Multiple of 18257 and 18273?

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 18257 and 18273 is 333610161.

LCM(18257,18273) = 333610161

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Least Common Multiple of 18257 and 18273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18257 and 18273, than apply into the LCM equation.

GCF(18257,18273) = 1
LCM(18257,18273) = ( 18257 × 18273) / 1
LCM(18257,18273) = 333610161 / 1
LCM(18257,18273) = 333610161

Least Common Multiple (LCM) of 18257 and 18273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18257 and 18273. First we will calculate the prime factors of 18257 and 18273.

Prime Factorization of 18257

Prime factors of 18257 are 18257. Prime factorization of 18257 in exponential form is:

18257 = 182571

Prime Factorization of 18273

Prime factors of 18273 are 3, 6091. Prime factorization of 18273 in exponential form is:

18273 = 31 × 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 18257 and 18273.

LCM(18257,18273) = 182571 × 31 × 60911
LCM(18257,18273) = 333610161