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What is the Least Common Multiple of 5708 and 5728?

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 5708 and 5728 is 8173856.

LCM(5708,5728) = 8173856

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Least Common Multiple of 5708 and 5728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5708 and 5728, than apply into the LCM equation.

GCF(5708,5728) = 4
LCM(5708,5728) = ( 5708 × 5728) / 4
LCM(5708,5728) = 32695424 / 4
LCM(5708,5728) = 8173856

Least Common Multiple (LCM) of 5708 and 5728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5708 and 5728. First we will calculate the prime factors of 5708 and 5728.

Prime Factorization of 5708

Prime factors of 5708 are 2, 1427. Prime factorization of 5708 in exponential form is:

5708 = 22 × 14271

Prime Factorization of 5728

Prime factors of 5728 are 2, 179. Prime factorization of 5728 in exponential form is:

5728 = 25 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5708 and 5728.

LCM(5708,5728) = 25 × 14271 × 1791
LCM(5708,5728) = 8173856