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What is the Least Common Multiple of 13468 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 13468 and 13482 is 12969684.

LCM(13468,13482) = 12969684

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Least Common Multiple of 13468 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 13468 and 13482, than apply into the LCM equation.

GCF(13468,13482) = 14
LCM(13468,13482) = ( 13468 × 13482) / 14
LCM(13468,13482) = 181575576 / 14
LCM(13468,13482) = 12969684

Least Common Multiple (LCM) of 13468 and 13482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13468 and 13482. First we will calculate the prime factors of 13468 and 13482.

Prime Factorization of 13468

Prime factors of 13468 are 2, 7, 13, 37. Prime factorization of 13468 in exponential form is:

13468 = 22 × 71 × 131 × 371

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 13468 and 13482.

LCM(13468,13482) = 22 × 71 × 131 × 371 × 32 × 1071
LCM(13468,13482) = 12969684