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What is the Least Common Multiple of 5986 and 5994?

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 5986 and 5994 is 17940042.

LCM(5986,5994) = 17940042

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Least Common Multiple of 5986 and 5994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5986 and 5994, than apply into the LCM equation.

GCF(5986,5994) = 2
LCM(5986,5994) = ( 5986 × 5994) / 2
LCM(5986,5994) = 35880084 / 2
LCM(5986,5994) = 17940042

Least Common Multiple (LCM) of 5986 and 5994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5986 and 5994. First we will calculate the prime factors of 5986 and 5994.

Prime Factorization of 5986

Prime factors of 5986 are 2, 41, 73. Prime factorization of 5986 in exponential form is:

5986 = 21 × 411 × 731

Prime Factorization of 5994

Prime factors of 5994 are 2, 3, 37. Prime factorization of 5994 in exponential form is:

5994 = 21 × 34 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 5986 and 5994.

LCM(5986,5994) = 21 × 411 × 731 × 34 × 371
LCM(5986,5994) = 17940042