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What is the Least Common Multiple of 13476 and 13482?

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 13476 and 13482 is 30280572.

LCM(13476,13482) = 30280572

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Least Common Multiple of 13476 and 13482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13476 and 13482, than apply into the LCM equation.

GCF(13476,13482) = 6
LCM(13476,13482) = ( 13476 × 13482) / 6
LCM(13476,13482) = 181683432 / 6
LCM(13476,13482) = 30280572

Least Common Multiple (LCM) of 13476 and 13482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13476 and 13482. First we will calculate the prime factors of 13476 and 13482.

Prime Factorization of 13476

Prime factors of 13476 are 2, 3, 1123. Prime factorization of 13476 in exponential form is:

13476 = 22 × 31 × 11231

Prime Factorization of 13482

Prime factors of 13482 are 2, 3, 7, 107. Prime factorization of 13482 in exponential form is:

13482 = 21 × 32 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 13476 and 13482.

LCM(13476,13482) = 22 × 32 × 11231 × 71 × 1071
LCM(13476,13482) = 30280572