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What is the Least Common Multiple of 18935 and 18947?

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 18935 and 18947 is 358761445.

LCM(18935,18947) = 358761445

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Least Common Multiple of 18935 and 18947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18935 and 18947, than apply into the LCM equation.

GCF(18935,18947) = 1
LCM(18935,18947) = ( 18935 × 18947) / 1
LCM(18935,18947) = 358761445 / 1
LCM(18935,18947) = 358761445

Least Common Multiple (LCM) of 18935 and 18947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18935 and 18947. First we will calculate the prime factors of 18935 and 18947.

Prime Factorization of 18935

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

18935 = 51 × 71 × 5411

Prime Factorization of 18947

Prime factors of 18947 are 18947. Prime factorization of 18947 in exponential form is:

18947 = 189471

Now multiplying the highest exponent prime factors to calculate the LCM of 18935 and 18947.

LCM(18935,18947) = 51 × 71 × 5411 × 189471
LCM(18935,18947) = 358761445