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What is the Least Common Multiple of 13514 and 13526?

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 13514 and 13526 is 91395182.

LCM(13514,13526) = 91395182

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Least Common Multiple of 13514 and 13526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13514 and 13526, than apply into the LCM equation.

GCF(13514,13526) = 2
LCM(13514,13526) = ( 13514 × 13526) / 2
LCM(13514,13526) = 182790364 / 2
LCM(13514,13526) = 91395182

Least Common Multiple (LCM) of 13514 and 13526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13514 and 13526. First we will calculate the prime factors of 13514 and 13526.

Prime Factorization of 13514

Prime factors of 13514 are 2, 29, 233. Prime factorization of 13514 in exponential form is:

13514 = 21 × 291 × 2331

Prime Factorization of 13526

Prime factors of 13526 are 2, 6763. Prime factorization of 13526 in exponential form is:

13526 = 21 × 67631

Now multiplying the highest exponent prime factors to calculate the LCM of 13514 and 13526.

LCM(13514,13526) = 21 × 291 × 2331 × 67631
LCM(13514,13526) = 91395182