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What is the Least Common Multiple of 67282 and 67289?

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 67282 and 67289 is 4527338498.

LCM(67282,67289) = 4527338498

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Least Common Multiple of 67282 and 67289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67282 and 67289, than apply into the LCM equation.

GCF(67282,67289) = 1
LCM(67282,67289) = ( 67282 × 67289) / 1
LCM(67282,67289) = 4527338498 / 1
LCM(67282,67289) = 4527338498

Least Common Multiple (LCM) of 67282 and 67289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67282 and 67289. First we will calculate the prime factors of 67282 and 67289.

Prime Factorization of 67282

Prime factors of 67282 are 2, 33641. Prime factorization of 67282 in exponential form is:

67282 = 21 × 336411

Prime Factorization of 67289

Prime factors of 67289 are 67289. Prime factorization of 67289 in exponential form is:

67289 = 672891

Now multiplying the highest exponent prime factors to calculate the LCM of 67282 and 67289.

LCM(67282,67289) = 21 × 336411 × 672891
LCM(67282,67289) = 4527338498