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What is the Least Common Multiple of 4999 and 5008?

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 4999 and 5008 is 25034992.

LCM(4999,5008) = 25034992

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Least Common Multiple of 4999 and 5008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4999 and 5008, than apply into the LCM equation.

GCF(4999,5008) = 1
LCM(4999,5008) = ( 4999 × 5008) / 1
LCM(4999,5008) = 25034992 / 1
LCM(4999,5008) = 25034992

Least Common Multiple (LCM) of 4999 and 5008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4999 and 5008. First we will calculate the prime factors of 4999 and 5008.

Prime Factorization of 4999

Prime factors of 4999 are 4999. Prime factorization of 4999 in exponential form is:

4999 = 49991

Prime Factorization of 5008

Prime factors of 5008 are 2, 313. Prime factorization of 5008 in exponential form is:

5008 = 24 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 4999 and 5008.

LCM(4999,5008) = 49991 × 24 × 3131
LCM(4999,5008) = 25034992