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What is the Least Common Multiple of 22853 and 22871?

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 22853 and 22871 is 522670963.

LCM(22853,22871) = 522670963

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Least Common Multiple of 22853 and 22871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22853 and 22871, than apply into the LCM equation.

GCF(22853,22871) = 1
LCM(22853,22871) = ( 22853 × 22871) / 1
LCM(22853,22871) = 522670963 / 1
LCM(22853,22871) = 522670963

Least Common Multiple (LCM) of 22853 and 22871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22853 and 22871. First we will calculate the prime factors of 22853 and 22871.

Prime Factorization of 22853

Prime factors of 22853 are 22853. Prime factorization of 22853 in exponential form is:

22853 = 228531

Prime Factorization of 22871

Prime factors of 22871 are 22871. Prime factorization of 22871 in exponential form is:

22871 = 228711

Now multiplying the highest exponent prime factors to calculate the LCM of 22853 and 22871.

LCM(22853,22871) = 228531 × 228711
LCM(22853,22871) = 522670963