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What is the Least Common Multiple of 94282 and 94294?

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 94282 and 94294 is 4445113454.

LCM(94282,94294) = 4445113454

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Least Common Multiple of 94282 and 94294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94282 and 94294, than apply into the LCM equation.

GCF(94282,94294) = 2
LCM(94282,94294) = ( 94282 × 94294) / 2
LCM(94282,94294) = 8890226908 / 2
LCM(94282,94294) = 4445113454

Least Common Multiple (LCM) of 94282 and 94294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94282 and 94294. First we will calculate the prime factors of 94282 and 94294.

Prime Factorization of 94282

Prime factors of 94282 are 2, 17, 47, 59. Prime factorization of 94282 in exponential form is:

94282 = 21 × 171 × 471 × 591

Prime Factorization of 94294

Prime factors of 94294 are 2, 47147. Prime factorization of 94294 in exponential form is:

94294 = 21 × 471471

Now multiplying the highest exponent prime factors to calculate the LCM of 94282 and 94294.

LCM(94282,94294) = 21 × 171 × 471 × 591 × 471471
LCM(94282,94294) = 4445113454