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What is the Least Common Multiple of 5991 and 6009?

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 5991 and 6009 is 11999973.

LCM(5991,6009) = 11999973

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Least Common Multiple of 5991 and 6009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5991 and 6009, than apply into the LCM equation.

GCF(5991,6009) = 3
LCM(5991,6009) = ( 5991 × 6009) / 3
LCM(5991,6009) = 35999919 / 3
LCM(5991,6009) = 11999973

Least Common Multiple (LCM) of 5991 and 6009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5991 and 6009. First we will calculate the prime factors of 5991 and 6009.

Prime Factorization of 5991

Prime factors of 5991 are 3, 1997. Prime factorization of 5991 in exponential form is:

5991 = 31 × 19971

Prime Factorization of 6009

Prime factors of 6009 are 3, 2003. Prime factorization of 6009 in exponential form is:

6009 = 31 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 5991 and 6009.

LCM(5991,6009) = 31 × 19971 × 20031
LCM(5991,6009) = 11999973