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What is the Least Common Multiple of 3004 and 3013?

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 3004 and 3013 is 9051052.

LCM(3004,3013) = 9051052

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Least Common Multiple of 3004 and 3013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3004 and 3013, than apply into the LCM equation.

GCF(3004,3013) = 1
LCM(3004,3013) = ( 3004 × 3013) / 1
LCM(3004,3013) = 9051052 / 1
LCM(3004,3013) = 9051052

Least Common Multiple (LCM) of 3004 and 3013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3013. First we will calculate the prime factors of 3004 and 3013.

Prime Factorization of 3004

Prime factors of 3004 are 2, 751. Prime factorization of 3004 in exponential form is:

3004 = 22 × 7511

Prime Factorization of 3013

Prime factors of 3013 are 23, 131. Prime factorization of 3013 in exponential form is:

3013 = 231 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3004 and 3013.

LCM(3004,3013) = 22 × 7511 × 231 × 1311
LCM(3004,3013) = 9051052