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What is the Least Common Multiple of 13072 and 13091?

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 13072 and 13091 is 9006608.

LCM(13072,13091) = 9006608

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Least Common Multiple of 13072 and 13091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13072 and 13091, than apply into the LCM equation.

GCF(13072,13091) = 19
LCM(13072,13091) = ( 13072 × 13091) / 19
LCM(13072,13091) = 171125552 / 19
LCM(13072,13091) = 9006608

Least Common Multiple (LCM) of 13072 and 13091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13072 and 13091. First we will calculate the prime factors of 13072 and 13091.

Prime Factorization of 13072

Prime factors of 13072 are 2, 19, 43. Prime factorization of 13072 in exponential form is:

13072 = 24 × 191 × 431

Prime Factorization of 13091

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

13091 = 131 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13072 and 13091.

LCM(13072,13091) = 24 × 191 × 431 × 131 × 531
LCM(13072,13091) = 9006608