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What is the Least Common Multiple of 22232 and 22241?

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 22232 and 22241 is 494461912.

LCM(22232,22241) = 494461912

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Least Common Multiple of 22232 and 22241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22232 and 22241, than apply into the LCM equation.

GCF(22232,22241) = 1
LCM(22232,22241) = ( 22232 × 22241) / 1
LCM(22232,22241) = 494461912 / 1
LCM(22232,22241) = 494461912

Least Common Multiple (LCM) of 22232 and 22241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22232 and 22241. First we will calculate the prime factors of 22232 and 22241.

Prime Factorization of 22232

Prime factors of 22232 are 2, 7, 397. Prime factorization of 22232 in exponential form is:

22232 = 23 × 71 × 3971

Prime Factorization of 22241

Prime factors of 22241 are 23, 967. Prime factorization of 22241 in exponential form is:

22241 = 231 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 22232 and 22241.

LCM(22232,22241) = 23 × 71 × 3971 × 231 × 9671
LCM(22232,22241) = 494461912