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What is the Least Common Multiple of 2991 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 2991 and 2999 is 8970009.

LCM(2991,2999) = 8970009

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Least Common Multiple of 2991 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 2991 and 2999, than apply into the LCM equation.

GCF(2991,2999) = 1
LCM(2991,2999) = ( 2991 × 2999) / 1
LCM(2991,2999) = 8970009 / 1
LCM(2991,2999) = 8970009

Least Common Multiple (LCM) of 2991 and 2999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2991 and 2999. First we will calculate the prime factors of 2991 and 2999.

Prime Factorization of 2991

Prime factors of 2991 are 3, 997. Prime factorization of 2991 in exponential form is:

2991 = 31 × 9971

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 2991 and 2999.

LCM(2991,2999) = 31 × 9971 × 29991
LCM(2991,2999) = 8970009