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What is the Least Common Multiple of 13091 and 13100?

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 13091 and 13100 is 171492100.

LCM(13091,13100) = 171492100

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Least Common Multiple of 13091 and 13100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13091 and 13100, than apply into the LCM equation.

GCF(13091,13100) = 1
LCM(13091,13100) = ( 13091 × 13100) / 1
LCM(13091,13100) = 171492100 / 1
LCM(13091,13100) = 171492100

Least Common Multiple (LCM) of 13091 and 13100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13091 and 13100. First we will calculate the prime factors of 13091 and 13100.

Prime Factorization of 13091

Prime factors of 13091 are 13, 19, 53. Prime factorization of 13091 in exponential form is:

13091 = 131 × 191 × 531

Prime Factorization of 13100

Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:

13100 = 22 × 52 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 13091 and 13100.

LCM(13091,13100) = 131 × 191 × 531 × 22 × 52 × 1311
LCM(13091,13100) = 171492100