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What is the Least Common Multiple of 6592 and 6598?

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 6592 and 6598 is 21747008.

LCM(6592,6598) = 21747008

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Least Common Multiple of 6592 and 6598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6592 and 6598, than apply into the LCM equation.

GCF(6592,6598) = 2
LCM(6592,6598) = ( 6592 × 6598) / 2
LCM(6592,6598) = 43494016 / 2
LCM(6592,6598) = 21747008

Least Common Multiple (LCM) of 6592 and 6598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6592 and 6598. First we will calculate the prime factors of 6592 and 6598.

Prime Factorization of 6592

Prime factors of 6592 are 2, 103. Prime factorization of 6592 in exponential form is:

6592 = 26 × 1031

Prime Factorization of 6598

Prime factors of 6598 are 2, 3299. Prime factorization of 6598 in exponential form is:

6598 = 21 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 6592 and 6598.

LCM(6592,6598) = 26 × 1031 × 32991
LCM(6592,6598) = 21747008