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What is the Least Common Multiple of 5498 and 5509?

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 5509 is 30288482.

LCM(5498,5509) = 30288482

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Least Common Multiple of 5498 and 5509 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 5509, than apply into the LCM equation.

GCF(5498,5509) = 1
LCM(5498,5509) = ( 5498 × 5509) / 1
LCM(5498,5509) = 30288482 / 1
LCM(5498,5509) = 30288482

Least Common Multiple (LCM) of 5498 and 5509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5498 and 5509. First we will calculate the prime factors of 5498 and 5509.

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 5509

Prime factors of 5509 are 7, 787. Prime factorization of 5509 in exponential form is:

5509 = 71 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 5498 and 5509.

LCM(5498,5509) = 21 × 27491 × 71 × 7871
LCM(5498,5509) = 30288482