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What is the Least Common Multiple of 4993 and 5000?

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 4993 and 5000 is 24965000.

LCM(4993,5000) = 24965000

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Least Common Multiple of 4993 and 5000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4993 and 5000, than apply into the LCM equation.

GCF(4993,5000) = 1
LCM(4993,5000) = ( 4993 × 5000) / 1
LCM(4993,5000) = 24965000 / 1
LCM(4993,5000) = 24965000

Least Common Multiple (LCM) of 4993 and 5000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4993 and 5000. First we will calculate the prime factors of 4993 and 5000.

Prime Factorization of 4993

Prime factors of 4993 are 4993. Prime factorization of 4993 in exponential form is:

4993 = 49931

Prime Factorization of 5000

Prime factors of 5000 are 2, 5. Prime factorization of 5000 in exponential form is:

5000 = 23 × 54

Now multiplying the highest exponent prime factors to calculate the LCM of 4993 and 5000.

LCM(4993,5000) = 49931 × 23 × 54
LCM(4993,5000) = 24965000