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What is the Least Common Multiple of 5800 and 5808?

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 5800 and 5808 is 4210800.

LCM(5800,5808) = 4210800

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Least Common Multiple of 5800 and 5808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5800 and 5808, than apply into the LCM equation.

GCF(5800,5808) = 8
LCM(5800,5808) = ( 5800 × 5808) / 8
LCM(5800,5808) = 33686400 / 8
LCM(5800,5808) = 4210800

Least Common Multiple (LCM) of 5800 and 5808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5800 and 5808. First we will calculate the prime factors of 5800 and 5808.

Prime Factorization of 5800

Prime factors of 5800 are 2, 5, 29. Prime factorization of 5800 in exponential form is:

5800 = 23 × 52 × 291

Prime Factorization of 5808

Prime factors of 5808 are 2, 3, 11. Prime factorization of 5808 in exponential form is:

5808 = 24 × 31 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 5800 and 5808.

LCM(5800,5808) = 24 × 52 × 291 × 31 × 112
LCM(5800,5808) = 4210800