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What is the Least Common Multiple of 5489 and 5498?

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 5489 and 5498 is 30178522.

LCM(5489,5498) = 30178522

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Least Common Multiple of 5489 and 5498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5489 and 5498, than apply into the LCM equation.

GCF(5489,5498) = 1
LCM(5489,5498) = ( 5489 × 5498) / 1
LCM(5489,5498) = 30178522 / 1
LCM(5489,5498) = 30178522

Least Common Multiple (LCM) of 5489 and 5498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5489 and 5498. First we will calculate the prime factors of 5489 and 5498.

Prime Factorization of 5489

Prime factors of 5489 are 11, 499. Prime factorization of 5489 in exponential form is:

5489 = 111 × 4991

Prime Factorization of 5498

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

5498 = 21 × 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 5489 and 5498.

LCM(5489,5498) = 111 × 4991 × 21 × 27491
LCM(5489,5498) = 30178522