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What is the Least Common Multiple of 13472 and 13484?

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 13472 and 13484 is 45414112.

LCM(13472,13484) = 45414112

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Least Common Multiple of 13472 and 13484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13472 and 13484, than apply into the LCM equation.

GCF(13472,13484) = 4
LCM(13472,13484) = ( 13472 × 13484) / 4
LCM(13472,13484) = 181656448 / 4
LCM(13472,13484) = 45414112

Least Common Multiple (LCM) of 13472 and 13484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13472 and 13484. First we will calculate the prime factors of 13472 and 13484.

Prime Factorization of 13472

Prime factors of 13472 are 2, 421. Prime factorization of 13472 in exponential form is:

13472 = 25 × 4211

Prime Factorization of 13484

Prime factors of 13484 are 2, 3371. Prime factorization of 13484 in exponential form is:

13484 = 22 × 33711

Now multiplying the highest exponent prime factors to calculate the LCM of 13472 and 13484.

LCM(13472,13484) = 25 × 4211 × 33711
LCM(13472,13484) = 45414112