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What is the Least Common Multiple of 13092 and 13104?

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 13092 and 13104 is 14296464.

LCM(13092,13104) = 14296464

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Least Common Multiple of 13092 and 13104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13092 and 13104, than apply into the LCM equation.

GCF(13092,13104) = 12
LCM(13092,13104) = ( 13092 × 13104) / 12
LCM(13092,13104) = 171557568 / 12
LCM(13092,13104) = 14296464

Least Common Multiple (LCM) of 13092 and 13104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13092 and 13104. First we will calculate the prime factors of 13092 and 13104.

Prime Factorization of 13092

Prime factors of 13092 are 2, 3, 1091. Prime factorization of 13092 in exponential form is:

13092 = 22 × 31 × 10911

Prime Factorization of 13104

Prime factors of 13104 are 2, 3, 7, 13. Prime factorization of 13104 in exponential form is:

13104 = 24 × 32 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 13092 and 13104.

LCM(13092,13104) = 24 × 32 × 10911 × 71 × 131
LCM(13092,13104) = 14296464