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What is the Least Common Multiple of 94047 and 94067?

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 94047 and 94067 is 8846719149.

LCM(94047,94067) = 8846719149

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Least Common Multiple of 94047 and 94067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94047 and 94067, than apply into the LCM equation.

GCF(94047,94067) = 1
LCM(94047,94067) = ( 94047 × 94067) / 1
LCM(94047,94067) = 8846719149 / 1
LCM(94047,94067) = 8846719149

Least Common Multiple (LCM) of 94047 and 94067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94047 and 94067. First we will calculate the prime factors of 94047 and 94067.

Prime Factorization of 94047

Prime factors of 94047 are 3, 23, 29, 47. Prime factorization of 94047 in exponential form is:

94047 = 31 × 231 × 291 × 471

Prime Factorization of 94067

Prime factors of 94067 are 109, 863. Prime factorization of 94067 in exponential form is:

94067 = 1091 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 94047 and 94067.

LCM(94047,94067) = 31 × 231 × 291 × 471 × 1091 × 8631
LCM(94047,94067) = 8846719149