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What is the Least Common Multiple of 94073 and 94087?

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 94073 and 94087 is 1264435193.

LCM(94073,94087) = 1264435193

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Least Common Multiple of 94073 and 94087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94073 and 94087, than apply into the LCM equation.

GCF(94073,94087) = 7
LCM(94073,94087) = ( 94073 × 94087) / 7
LCM(94073,94087) = 8851046351 / 7
LCM(94073,94087) = 1264435193

Least Common Multiple (LCM) of 94073 and 94087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94073 and 94087. First we will calculate the prime factors of 94073 and 94087.

Prime Factorization of 94073

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

94073 = 71 × 891 × 1511

Prime Factorization of 94087

Prime factors of 94087 are 7, 13441. Prime factorization of 94087 in exponential form is:

94087 = 71 × 134411

Now multiplying the highest exponent prime factors to calculate the LCM of 94073 and 94087.

LCM(94073,94087) = 71 × 891 × 1511 × 134411
LCM(94073,94087) = 1264435193