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What is the Least Common Multiple of 2989 and 3005?

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 2989 and 3005 is 8981945.

LCM(2989,3005) = 8981945

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Least Common Multiple of 2989 and 3005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2989 and 3005, than apply into the LCM equation.

GCF(2989,3005) = 1
LCM(2989,3005) = ( 2989 × 3005) / 1
LCM(2989,3005) = 8981945 / 1
LCM(2989,3005) = 8981945

Least Common Multiple (LCM) of 2989 and 3005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2989 and 3005. First we will calculate the prime factors of 2989 and 3005.

Prime Factorization of 2989

Prime factors of 2989 are 7, 61. Prime factorization of 2989 in exponential form is:

2989 = 72 × 611

Prime Factorization of 3005

Prime factors of 3005 are 5, 601. Prime factorization of 3005 in exponential form is:

3005 = 51 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 2989 and 3005.

LCM(2989,3005) = 72 × 611 × 51 × 6011
LCM(2989,3005) = 8981945