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What is the Least Common Multiple of 94066 and 94073?

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 94066 and 94073 is 1264152974.

LCM(94066,94073) = 1264152974

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Least Common Multiple of 94066 and 94073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94066 and 94073, than apply into the LCM equation.

GCF(94066,94073) = 7
LCM(94066,94073) = ( 94066 × 94073) / 7
LCM(94066,94073) = 8849070818 / 7
LCM(94066,94073) = 1264152974

Least Common Multiple (LCM) of 94066 and 94073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94066 and 94073. First we will calculate the prime factors of 94066 and 94073.

Prime Factorization of 94066

Prime factors of 94066 are 2, 7, 6719. Prime factorization of 94066 in exponential form is:

94066 = 21 × 71 × 67191

Prime Factorization of 94073

Prime factors of 94073 are 7, 89, 151. Prime factorization of 94073 in exponential form is:

94073 = 71 × 891 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 94066 and 94073.

LCM(94066,94073) = 21 × 71 × 67191 × 891 × 1511
LCM(94066,94073) = 1264152974