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What is the Least Common Multiple of 4991 and 5003?

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 4991 and 5003 is 24969973.

LCM(4991,5003) = 24969973

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Least Common Multiple of 4991 and 5003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4991 and 5003, than apply into the LCM equation.

GCF(4991,5003) = 1
LCM(4991,5003) = ( 4991 × 5003) / 1
LCM(4991,5003) = 24969973 / 1
LCM(4991,5003) = 24969973

Least Common Multiple (LCM) of 4991 and 5003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4991 and 5003. First we will calculate the prime factors of 4991 and 5003.

Prime Factorization of 4991

Prime factors of 4991 are 7, 23, 31. Prime factorization of 4991 in exponential form is:

4991 = 71 × 231 × 311

Prime Factorization of 5003

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

5003 = 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 4991 and 5003.

LCM(4991,5003) = 71 × 231 × 311 × 50031
LCM(4991,5003) = 24969973