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What is the Least Common Multiple of 5983 and 5997?

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 5983 and 5997 is 35880051.

LCM(5983,5997) = 35880051

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Least Common Multiple of 5983 and 5997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5983 and 5997, than apply into the LCM equation.

GCF(5983,5997) = 1
LCM(5983,5997) = ( 5983 × 5997) / 1
LCM(5983,5997) = 35880051 / 1
LCM(5983,5997) = 35880051

Least Common Multiple (LCM) of 5983 and 5997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5983 and 5997. First we will calculate the prime factors of 5983 and 5997.

Prime Factorization of 5983

Prime factors of 5983 are 31, 193. Prime factorization of 5983 in exponential form is:

5983 = 311 × 1931

Prime Factorization of 5997

Prime factors of 5997 are 3, 1999. Prime factorization of 5997 in exponential form is:

5997 = 31 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 5983 and 5997.

LCM(5983,5997) = 311 × 1931 × 31 × 19991
LCM(5983,5997) = 35880051