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What is the Least Common Multiple of 14584 and 14600?

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 14584 and 14600 is 26615800.

LCM(14584,14600) = 26615800

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Least Common Multiple of 14584 and 14600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14584 and 14600, than apply into the LCM equation.

GCF(14584,14600) = 8
LCM(14584,14600) = ( 14584 × 14600) / 8
LCM(14584,14600) = 212926400 / 8
LCM(14584,14600) = 26615800

Least Common Multiple (LCM) of 14584 and 14600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14584 and 14600. First we will calculate the prime factors of 14584 and 14600.

Prime Factorization of 14584

Prime factors of 14584 are 2, 1823. Prime factorization of 14584 in exponential form is:

14584 = 23 × 18231

Prime Factorization of 14600

Prime factors of 14600 are 2, 5, 73. Prime factorization of 14600 in exponential form is:

14600 = 23 × 52 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 14584 and 14600.

LCM(14584,14600) = 23 × 18231 × 52 × 731
LCM(14584,14600) = 26615800