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What is the Least Common Multiple of 22439 and 22459?

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 22439 and 22459 is 503957501.

LCM(22439,22459) = 503957501

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Least Common Multiple of 22439 and 22459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22439 and 22459, than apply into the LCM equation.

GCF(22439,22459) = 1
LCM(22439,22459) = ( 22439 × 22459) / 1
LCM(22439,22459) = 503957501 / 1
LCM(22439,22459) = 503957501

Least Common Multiple (LCM) of 22439 and 22459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22439 and 22459. First we will calculate the prime factors of 22439 and 22459.

Prime Factorization of 22439

Prime factors of 22439 are 19, 1181. Prime factorization of 22439 in exponential form is:

22439 = 191 × 11811

Prime Factorization of 22459

Prime factors of 22459 are 37, 607. Prime factorization of 22459 in exponential form is:

22459 = 371 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 22439 and 22459.

LCM(22439,22459) = 191 × 11811 × 371 × 6071
LCM(22439,22459) = 503957501