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What is the Least Common Multiple of 13402 and 13409?

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 13402 and 13409 is 179707418.

LCM(13402,13409) = 179707418

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Least Common Multiple of 13402 and 13409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13402 and 13409, than apply into the LCM equation.

GCF(13402,13409) = 1
LCM(13402,13409) = ( 13402 × 13409) / 1
LCM(13402,13409) = 179707418 / 1
LCM(13402,13409) = 179707418

Least Common Multiple (LCM) of 13402 and 13409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13402 and 13409. First we will calculate the prime factors of 13402 and 13409.

Prime Factorization of 13402

Prime factors of 13402 are 2, 6701. Prime factorization of 13402 in exponential form is:

13402 = 21 × 67011

Prime Factorization of 13409

Prime factors of 13409 are 11, 23, 53. Prime factorization of 13409 in exponential form is:

13409 = 111 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13402 and 13409.

LCM(13402,13409) = 21 × 67011 × 111 × 231 × 531
LCM(13402,13409) = 179707418