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What is the Least Common Multiple of 16091 and 16107?

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 16091 and 16107 is 259177737.

LCM(16091,16107) = 259177737

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Least Common Multiple of 16091 and 16107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16091 and 16107, than apply into the LCM equation.

GCF(16091,16107) = 1
LCM(16091,16107) = ( 16091 × 16107) / 1
LCM(16091,16107) = 259177737 / 1
LCM(16091,16107) = 259177737

Least Common Multiple (LCM) of 16091 and 16107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16091 and 16107. First we will calculate the prime factors of 16091 and 16107.

Prime Factorization of 16091

Prime factors of 16091 are 16091. Prime factorization of 16091 in exponential form is:

16091 = 160911

Prime Factorization of 16107

Prime factors of 16107 are 3, 7, 13, 59. Prime factorization of 16107 in exponential form is:

16107 = 31 × 71 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16091 and 16107.

LCM(16091,16107) = 160911 × 31 × 71 × 131 × 591
LCM(16091,16107) = 259177737