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What is the Least Common Multiple of 5493 and 5513?

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 5493 and 5513 is 30282909.

LCM(5493,5513) = 30282909

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Least Common Multiple of 5493 and 5513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5493 and 5513, than apply into the LCM equation.

GCF(5493,5513) = 1
LCM(5493,5513) = ( 5493 × 5513) / 1
LCM(5493,5513) = 30282909 / 1
LCM(5493,5513) = 30282909

Least Common Multiple (LCM) of 5493 and 5513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5493 and 5513. First we will calculate the prime factors of 5493 and 5513.

Prime Factorization of 5493

Prime factors of 5493 are 3, 1831. Prime factorization of 5493 in exponential form is:

5493 = 31 × 18311

Prime Factorization of 5513

Prime factors of 5513 are 37, 149. Prime factorization of 5513 in exponential form is:

5513 = 371 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5493 and 5513.

LCM(5493,5513) = 31 × 18311 × 371 × 1491
LCM(5493,5513) = 30282909