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What is the Least Common Multiple of 5498 and 5517?

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 5498 and 5517 is 30332466.

LCM(5498,5517) = 30332466

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Least Common Multiple of 5498 and 5517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5498 and 5517, than apply into the LCM equation.

GCF(5498,5517) = 1
LCM(5498,5517) = ( 5498 × 5517) / 1
LCM(5498,5517) = 30332466 / 1
LCM(5498,5517) = 30332466

Least Common Multiple (LCM) of 5498 and 5517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5498 and 5517. First we will calculate the prime factors of 5498 and 5517.

Prime Factorization of 5498

Prime factors of 5498 are 2, 2749. Prime factorization of 5498 in exponential form is:

5498 = 21 × 27491

Prime Factorization of 5517

Prime factors of 5517 are 3, 613. Prime factorization of 5517 in exponential form is:

5517 = 32 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 5498 and 5517.

LCM(5498,5517) = 21 × 27491 × 32 × 6131
LCM(5498,5517) = 30332466