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What is the Least Common Multiple of 18248 and 18253?

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 18248 and 18253 is 333080744.

LCM(18248,18253) = 333080744

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Least Common Multiple of 18248 and 18253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18248 and 18253, than apply into the LCM equation.

GCF(18248,18253) = 1
LCM(18248,18253) = ( 18248 × 18253) / 1
LCM(18248,18253) = 333080744 / 1
LCM(18248,18253) = 333080744

Least Common Multiple (LCM) of 18248 and 18253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18248 and 18253. First we will calculate the prime factors of 18248 and 18253.

Prime Factorization of 18248

Prime factors of 18248 are 2, 2281. Prime factorization of 18248 in exponential form is:

18248 = 23 × 22811

Prime Factorization of 18253

Prime factors of 18253 are 18253. Prime factorization of 18253 in exponential form is:

18253 = 182531

Now multiplying the highest exponent prime factors to calculate the LCM of 18248 and 18253.

LCM(18248,18253) = 23 × 22811 × 182531
LCM(18248,18253) = 333080744