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What is the Least Common Multiple of 22881 and 22894?

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 22881 and 22894 is 523837614.

LCM(22881,22894) = 523837614

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Least Common Multiple of 22881 and 22894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22881 and 22894, than apply into the LCM equation.

GCF(22881,22894) = 1
LCM(22881,22894) = ( 22881 × 22894) / 1
LCM(22881,22894) = 523837614 / 1
LCM(22881,22894) = 523837614

Least Common Multiple (LCM) of 22881 and 22894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22881 and 22894. First we will calculate the prime factors of 22881 and 22894.

Prime Factorization of 22881

Prime factors of 22881 are 3, 29, 263. Prime factorization of 22881 in exponential form is:

22881 = 31 × 291 × 2631

Prime Factorization of 22894

Prime factors of 22894 are 2, 11447. Prime factorization of 22894 in exponential form is:

22894 = 21 × 114471

Now multiplying the highest exponent prime factors to calculate the LCM of 22881 and 22894.

LCM(22881,22894) = 31 × 291 × 2631 × 21 × 114471
LCM(22881,22894) = 523837614