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What is the Least Common Multiple of 17982 and 17989?

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 17982 and 17989 is 323478198.

LCM(17982,17989) = 323478198

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Least Common Multiple of 17982 and 17989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17982 and 17989, than apply into the LCM equation.

GCF(17982,17989) = 1
LCM(17982,17989) = ( 17982 × 17989) / 1
LCM(17982,17989) = 323478198 / 1
LCM(17982,17989) = 323478198

Least Common Multiple (LCM) of 17982 and 17989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17982 and 17989. First we will calculate the prime factors of 17982 and 17989.

Prime Factorization of 17982

Prime factors of 17982 are 2, 3, 37. Prime factorization of 17982 in exponential form is:

17982 = 21 × 35 × 371

Prime Factorization of 17989

Prime factors of 17989 are 17989. Prime factorization of 17989 in exponential form is:

17989 = 179891

Now multiplying the highest exponent prime factors to calculate the LCM of 17982 and 17989.

LCM(17982,17989) = 21 × 35 × 371 × 179891
LCM(17982,17989) = 323478198