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What is the Least Common Multiple of 4985 and 5005?

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 4985 and 5005 is 4989985.

LCM(4985,5005) = 4989985

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Least Common Multiple of 4985 and 5005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4985 and 5005, than apply into the LCM equation.

GCF(4985,5005) = 5
LCM(4985,5005) = ( 4985 × 5005) / 5
LCM(4985,5005) = 24949925 / 5
LCM(4985,5005) = 4989985

Least Common Multiple (LCM) of 4985 and 5005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4985 and 5005. First we will calculate the prime factors of 4985 and 5005.

Prime Factorization of 4985

Prime factors of 4985 are 5, 997. Prime factorization of 4985 in exponential form is:

4985 = 51 × 9971

Prime Factorization of 5005

Prime factors of 5005 are 5, 7, 11, 13. Prime factorization of 5005 in exponential form is:

5005 = 51 × 71 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4985 and 5005.

LCM(4985,5005) = 51 × 9971 × 71 × 111 × 131
LCM(4985,5005) = 4989985