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What is the Least Common Multiple of 5003 and 5012?

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 5003 and 5012 is 25075036.

LCM(5003,5012) = 25075036

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Least Common Multiple of 5003 and 5012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5003 and 5012, than apply into the LCM equation.

GCF(5003,5012) = 1
LCM(5003,5012) = ( 5003 × 5012) / 1
LCM(5003,5012) = 25075036 / 1
LCM(5003,5012) = 25075036

Least Common Multiple (LCM) of 5003 and 5012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5003 and 5012. First we will calculate the prime factors of 5003 and 5012.

Prime Factorization of 5003

Prime factors of 5003 are 5003. Prime factorization of 5003 in exponential form is:

5003 = 50031

Prime Factorization of 5012

Prime factors of 5012 are 2, 7, 179. Prime factorization of 5012 in exponential form is:

5012 = 22 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5003 and 5012.

LCM(5003,5012) = 50031 × 22 × 71 × 1791
LCM(5003,5012) = 25075036