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What is the Least Common Multiple of 15918 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 15918 and 15922 is 126723198.

LCM(15918,15922) = 126723198

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Least Common Multiple of 15918 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 15918 and 15922, than apply into the LCM equation.

GCF(15918,15922) = 2
LCM(15918,15922) = ( 15918 × 15922) / 2
LCM(15918,15922) = 253446396 / 2
LCM(15918,15922) = 126723198

Least Common Multiple (LCM) of 15918 and 15922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15918 and 15922. First we will calculate the prime factors of 15918 and 15922.

Prime Factorization of 15918

Prime factors of 15918 are 2, 3, 7, 379. Prime factorization of 15918 in exponential form is:

15918 = 21 × 31 × 71 × 3791

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 15918 and 15922.

LCM(15918,15922) = 21 × 31 × 71 × 3791 × 191 × 4191
LCM(15918,15922) = 126723198