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What is the Least Common Multiple of 15911 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 15911 and 15922 is 253334942.

LCM(15911,15922) = 253334942

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Least Common Multiple of 15911 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 15911 and 15922, than apply into the LCM equation.

GCF(15911,15922) = 1
LCM(15911,15922) = ( 15911 × 15922) / 1
LCM(15911,15922) = 253334942 / 1
LCM(15911,15922) = 253334942

Least Common Multiple (LCM) of 15911 and 15922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15911 and 15922. First we will calculate the prime factors of 15911 and 15922.

Prime Factorization of 15911

Prime factors of 15911 are 7, 2273. Prime factorization of 15911 in exponential form is:

15911 = 71 × 22731

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 15911 and 15922.

LCM(15911,15922) = 71 × 22731 × 21 × 191 × 4191
LCM(15911,15922) = 253334942