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What is the Least Common Multiple of 17943 and 17947?

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 17943 and 17947 is 322023021.

LCM(17943,17947) = 322023021

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Least Common Multiple of 17943 and 17947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17943 and 17947, than apply into the LCM equation.

GCF(17943,17947) = 1
LCM(17943,17947) = ( 17943 × 17947) / 1
LCM(17943,17947) = 322023021 / 1
LCM(17943,17947) = 322023021

Least Common Multiple (LCM) of 17943 and 17947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17943 and 17947. First we will calculate the prime factors of 17943 and 17947.

Prime Factorization of 17943

Prime factors of 17943 are 3, 5981. Prime factorization of 17943 in exponential form is:

17943 = 31 × 59811

Prime Factorization of 17947

Prime factors of 17947 are 131, 137. Prime factorization of 17947 in exponential form is:

17947 = 1311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 17943 and 17947.

LCM(17943,17947) = 31 × 59811 × 1311 × 1371
LCM(17943,17947) = 322023021