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What is the Least Common Multiple of 6601 and 6613?

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 6601 and 6613 is 43652413.

LCM(6601,6613) = 43652413

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Least Common Multiple of 6601 and 6613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6601 and 6613, than apply into the LCM equation.

GCF(6601,6613) = 1
LCM(6601,6613) = ( 6601 × 6613) / 1
LCM(6601,6613) = 43652413 / 1
LCM(6601,6613) = 43652413

Least Common Multiple (LCM) of 6601 and 6613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6601 and 6613. First we will calculate the prime factors of 6601 and 6613.

Prime Factorization of 6601

Prime factors of 6601 are 7, 23, 41. Prime factorization of 6601 in exponential form is:

6601 = 71 × 231 × 411

Prime Factorization of 6613

Prime factors of 6613 are 17, 389. Prime factorization of 6613 in exponential form is:

6613 = 171 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 6601 and 6613.

LCM(6601,6613) = 71 × 231 × 411 × 171 × 3891
LCM(6601,6613) = 43652413