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What is the Least Common Multiple of 23911 and 23922?

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 23911 and 23922 is 571998942.

LCM(23911,23922) = 571998942

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Least Common Multiple of 23911 and 23922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23911 and 23922, than apply into the LCM equation.

GCF(23911,23922) = 1
LCM(23911,23922) = ( 23911 × 23922) / 1
LCM(23911,23922) = 571998942 / 1
LCM(23911,23922) = 571998942

Least Common Multiple (LCM) of 23911 and 23922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23911 and 23922. First we will calculate the prime factors of 23911 and 23922.

Prime Factorization of 23911

Prime factors of 23911 are 23911. Prime factorization of 23911 in exponential form is:

23911 = 239111

Prime Factorization of 23922

Prime factors of 23922 are 2, 3, 443. Prime factorization of 23922 in exponential form is:

23922 = 21 × 33 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 23911 and 23922.

LCM(23911,23922) = 239111 × 21 × 33 × 4431
LCM(23911,23922) = 571998942