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What is the Least Common Multiple of 2994 and 2999?

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 2994 and 2999 is 8979006.

LCM(2994,2999) = 8979006

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Least Common Multiple of 2994 and 2999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2994 and 2999, than apply into the LCM equation.

GCF(2994,2999) = 1
LCM(2994,2999) = ( 2994 × 2999) / 1
LCM(2994,2999) = 8979006 / 1
LCM(2994,2999) = 8979006

Least Common Multiple (LCM) of 2994 and 2999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2994 and 2999. First we will calculate the prime factors of 2994 and 2999.

Prime Factorization of 2994

Prime factors of 2994 are 2, 3, 499. Prime factorization of 2994 in exponential form is:

2994 = 21 × 31 × 4991

Prime Factorization of 2999

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

2999 = 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 2994 and 2999.

LCM(2994,2999) = 21 × 31 × 4991 × 29991
LCM(2994,2999) = 8979006