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What is the Least Common Multiple of 67274 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 67274 and 67289 is 4526800186.

LCM(67274,67289) = 4526800186

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Least Common Multiple of 67274 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 67274 and 67289, than apply into the LCM equation.

GCF(67274,67289) = 1
LCM(67274,67289) = ( 67274 × 67289) / 1
LCM(67274,67289) = 4526800186 / 1
LCM(67274,67289) = 4526800186

Least Common Multiple (LCM) of 67274 and 67289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67274 and 67289. First we will calculate the prime factors of 67274 and 67289.

Prime Factorization of 67274

Prime factors of 67274 are 2, 33637. Prime factorization of 67274 in exponential form is:

67274 = 21 × 336371

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 67274 and 67289.

LCM(67274,67289) = 21 × 336371 × 672891
LCM(67274,67289) = 4526800186