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What is the Least Common Multiple of 22433 and 22441?

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 22433 and 22441 is 503418953.

LCM(22433,22441) = 503418953

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Least Common Multiple of 22433 and 22441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22433 and 22441, than apply into the LCM equation.

GCF(22433,22441) = 1
LCM(22433,22441) = ( 22433 × 22441) / 1
LCM(22433,22441) = 503418953 / 1
LCM(22433,22441) = 503418953

Least Common Multiple (LCM) of 22433 and 22441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22433 and 22441. First we will calculate the prime factors of 22433 and 22441.

Prime Factorization of 22433

Prime factors of 22433 are 22433. Prime factorization of 22433 in exponential form is:

22433 = 224331

Prime Factorization of 22441

Prime factors of 22441 are 22441. Prime factorization of 22441 in exponential form is:

22441 = 224411

Now multiplying the highest exponent prime factors to calculate the LCM of 22433 and 22441.

LCM(22433,22441) = 224331 × 224411
LCM(22433,22441) = 503418953