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What is the Least Common Multiple of 22879 and 22889?

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 22879 and 22889 is 523677431.

LCM(22879,22889) = 523677431

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Least Common Multiple of 22879 and 22889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22879 and 22889, than apply into the LCM equation.

GCF(22879,22889) = 1
LCM(22879,22889) = ( 22879 × 22889) / 1
LCM(22879,22889) = 523677431 / 1
LCM(22879,22889) = 523677431

Least Common Multiple (LCM) of 22879 and 22889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22879 and 22889. First we will calculate the prime factors of 22879 and 22889.

Prime Factorization of 22879

Prime factors of 22879 are 137, 167. Prime factorization of 22879 in exponential form is:

22879 = 1371 × 1671

Prime Factorization of 22889

Prime factors of 22889 are 47, 487. Prime factorization of 22889 in exponential form is:

22889 = 471 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 22879 and 22889.

LCM(22879,22889) = 1371 × 1671 × 471 × 4871
LCM(22879,22889) = 523677431