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What is the Least Common Multiple of 27982 and 27997?

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 27982 and 27997 is 783412054.

LCM(27982,27997) = 783412054

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Least Common Multiple of 27982 and 27997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27982 and 27997, than apply into the LCM equation.

GCF(27982,27997) = 1
LCM(27982,27997) = ( 27982 × 27997) / 1
LCM(27982,27997) = 783412054 / 1
LCM(27982,27997) = 783412054

Least Common Multiple (LCM) of 27982 and 27997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27982 and 27997. First we will calculate the prime factors of 27982 and 27997.

Prime Factorization of 27982

Prime factors of 27982 are 2, 17, 823. Prime factorization of 27982 in exponential form is:

27982 = 21 × 171 × 8231

Prime Factorization of 27997

Prime factors of 27997 are 27997. Prime factorization of 27997 in exponential form is:

27997 = 279971

Now multiplying the highest exponent prime factors to calculate the LCM of 27982 and 27997.

LCM(27982,27997) = 21 × 171 × 8231 × 279971
LCM(27982,27997) = 783412054