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What is the Least Common Multiple of 63269 and 63289?

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 63269 and 63289 is 4004231741.

LCM(63269,63289) = 4004231741

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Least Common Multiple of 63269 and 63289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63269 and 63289, than apply into the LCM equation.

GCF(63269,63289) = 1
LCM(63269,63289) = ( 63269 × 63289) / 1
LCM(63269,63289) = 4004231741 / 1
LCM(63269,63289) = 4004231741

Least Common Multiple (LCM) of 63269 and 63289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63269 and 63289. First we will calculate the prime factors of 63269 and 63289.

Prime Factorization of 63269

Prime factors of 63269 are 151, 419. Prime factorization of 63269 in exponential form is:

63269 = 1511 × 4191

Prime Factorization of 63289

Prime factors of 63289 are 19, 3331. Prime factorization of 63289 in exponential form is:

63289 = 191 × 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 63269 and 63289.

LCM(63269,63289) = 1511 × 4191 × 191 × 33311
LCM(63269,63289) = 4004231741