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What is the Least Common Multiple of 15908 and 15922?

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 15908 and 15922 is 126643588.

LCM(15908,15922) = 126643588

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Least Common Multiple of 15908 and 15922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15908 and 15922, than apply into the LCM equation.

GCF(15908,15922) = 2
LCM(15908,15922) = ( 15908 × 15922) / 2
LCM(15908,15922) = 253287176 / 2
LCM(15908,15922) = 126643588

Least Common Multiple (LCM) of 15908 and 15922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15908 and 15922. First we will calculate the prime factors of 15908 and 15922.

Prime Factorization of 15908

Prime factors of 15908 are 2, 41, 97. Prime factorization of 15908 in exponential form is:

15908 = 22 × 411 × 971

Prime Factorization of 15922

Prime factors of 15922 are 2, 19, 419. Prime factorization of 15922 in exponential form is:

15922 = 21 × 191 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 15908 and 15922.

LCM(15908,15922) = 22 × 411 × 971 × 191 × 4191
LCM(15908,15922) = 126643588