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What is the Least Common Multiple of 2483 and 2498?

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 2483 and 2498 is 6202534.

LCM(2483,2498) = 6202534

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Least Common Multiple of 2483 and 2498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2483 and 2498, than apply into the LCM equation.

GCF(2483,2498) = 1
LCM(2483,2498) = ( 2483 × 2498) / 1
LCM(2483,2498) = 6202534 / 1
LCM(2483,2498) = 6202534

Least Common Multiple (LCM) of 2483 and 2498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2483 and 2498. First we will calculate the prime factors of 2483 and 2498.

Prime Factorization of 2483

Prime factors of 2483 are 13, 191. Prime factorization of 2483 in exponential form is:

2483 = 131 × 1911

Prime Factorization of 2498

Prime factors of 2498 are 2, 1249. Prime factorization of 2498 in exponential form is:

2498 = 21 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 2483 and 2498.

LCM(2483,2498) = 131 × 1911 × 21 × 12491
LCM(2483,2498) = 6202534