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What is the Least Common Multiple of 5004 and 5009?

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 5004 and 5009 is 25065036.

LCM(5004,5009) = 25065036

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Least Common Multiple of 5004 and 5009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5004 and 5009, than apply into the LCM equation.

GCF(5004,5009) = 1
LCM(5004,5009) = ( 5004 × 5009) / 1
LCM(5004,5009) = 25065036 / 1
LCM(5004,5009) = 25065036

Least Common Multiple (LCM) of 5004 and 5009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5004 and 5009. First we will calculate the prime factors of 5004 and 5009.

Prime Factorization of 5004

Prime factors of 5004 are 2, 3, 139. Prime factorization of 5004 in exponential form is:

5004 = 22 × 32 × 1391

Prime Factorization of 5009

Prime factors of 5009 are 5009. Prime factorization of 5009 in exponential form is:

5009 = 50091

Now multiplying the highest exponent prime factors to calculate the LCM of 5004 and 5009.

LCM(5004,5009) = 22 × 32 × 1391 × 50091
LCM(5004,5009) = 25065036