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What is the Least Common Multiple of 5998 and 6018?

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 5998 and 6018 is 18047982.

LCM(5998,6018) = 18047982

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Least Common Multiple of 5998 and 6018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5998 and 6018, than apply into the LCM equation.

GCF(5998,6018) = 2
LCM(5998,6018) = ( 5998 × 6018) / 2
LCM(5998,6018) = 36095964 / 2
LCM(5998,6018) = 18047982

Least Common Multiple (LCM) of 5998 and 6018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5998 and 6018. First we will calculate the prime factors of 5998 and 6018.

Prime Factorization of 5998

Prime factors of 5998 are 2, 2999. Prime factorization of 5998 in exponential form is:

5998 = 21 × 29991

Prime Factorization of 6018

Prime factors of 6018 are 2, 3, 17, 59. Prime factorization of 6018 in exponential form is:

6018 = 21 × 31 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 5998 and 6018.

LCM(5998,6018) = 21 × 29991 × 31 × 171 × 591
LCM(5998,6018) = 18047982