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What is the Least Common Multiple of 13084 and 13103?

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 13084 and 13103 is 171439652.

LCM(13084,13103) = 171439652

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Least Common Multiple of 13084 and 13103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13084 and 13103, than apply into the LCM equation.

GCF(13084,13103) = 1
LCM(13084,13103) = ( 13084 × 13103) / 1
LCM(13084,13103) = 171439652 / 1
LCM(13084,13103) = 171439652

Least Common Multiple (LCM) of 13084 and 13103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13084 and 13103. First we will calculate the prime factors of 13084 and 13103.

Prime Factorization of 13084

Prime factors of 13084 are 2, 3271. Prime factorization of 13084 in exponential form is:

13084 = 22 × 32711

Prime Factorization of 13103

Prime factors of 13103 are 13103. Prime factorization of 13103 in exponential form is:

13103 = 131031

Now multiplying the highest exponent prime factors to calculate the LCM of 13084 and 13103.

LCM(13084,13103) = 22 × 32711 × 131031
LCM(13084,13103) = 171439652