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What is the Least Common Multiple of 18917 and 18935?

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 18917 and 18935 is 358193395.

LCM(18917,18935) = 358193395

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Least Common Multiple of 18917 and 18935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18917 and 18935, than apply into the LCM equation.

GCF(18917,18935) = 1
LCM(18917,18935) = ( 18917 × 18935) / 1
LCM(18917,18935) = 358193395 / 1
LCM(18917,18935) = 358193395

Least Common Multiple (LCM) of 18917 and 18935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18917 and 18935. First we will calculate the prime factors of 18917 and 18935.

Prime Factorization of 18917

Prime factors of 18917 are 18917. Prime factorization of 18917 in exponential form is:

18917 = 189171

Prime Factorization of 18935

Prime factors of 18935 are 5, 7, 541. Prime factorization of 18935 in exponential form is:

18935 = 51 × 71 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 18917 and 18935.

LCM(18917,18935) = 189171 × 51 × 71 × 5411
LCM(18917,18935) = 358193395