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What is the Least Common Multiple of 3401 and 3409?

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 3401 and 3409 is 11594009.

LCM(3401,3409) = 11594009

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Least Common Multiple of 3401 and 3409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3401 and 3409, than apply into the LCM equation.

GCF(3401,3409) = 1
LCM(3401,3409) = ( 3401 × 3409) / 1
LCM(3401,3409) = 11594009 / 1
LCM(3401,3409) = 11594009

Least Common Multiple (LCM) of 3401 and 3409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3401 and 3409. First we will calculate the prime factors of 3401 and 3409.

Prime Factorization of 3401

Prime factors of 3401 are 19, 179. Prime factorization of 3401 in exponential form is:

3401 = 191 × 1791

Prime Factorization of 3409

Prime factors of 3409 are 7, 487. Prime factorization of 3409 in exponential form is:

3409 = 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 3401 and 3409.

LCM(3401,3409) = 191 × 1791 × 71 × 4871
LCM(3401,3409) = 11594009