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What is the Least Common Multiple of 6574 and 6586?

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 6574 and 6586 is 21648182.

LCM(6574,6586) = 21648182

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Least Common Multiple of 6574 and 6586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6574 and 6586, than apply into the LCM equation.

GCF(6574,6586) = 2
LCM(6574,6586) = ( 6574 × 6586) / 2
LCM(6574,6586) = 43296364 / 2
LCM(6574,6586) = 21648182

Least Common Multiple (LCM) of 6574 and 6586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6574 and 6586. First we will calculate the prime factors of 6574 and 6586.

Prime Factorization of 6574

Prime factors of 6574 are 2, 19, 173. Prime factorization of 6574 in exponential form is:

6574 = 21 × 191 × 1731

Prime Factorization of 6586

Prime factors of 6586 are 2, 37, 89. Prime factorization of 6586 in exponential form is:

6586 = 21 × 371 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 6574 and 6586.

LCM(6574,6586) = 21 × 191 × 1731 × 371 × 891
LCM(6574,6586) = 21648182