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What is the Least Common Multiple of 94302 and 94312?

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 94302 and 94312 is 4446905112.

LCM(94302,94312) = 4446905112

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Least Common Multiple of 94302 and 94312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94302 and 94312, than apply into the LCM equation.

GCF(94302,94312) = 2
LCM(94302,94312) = ( 94302 × 94312) / 2
LCM(94302,94312) = 8893810224 / 2
LCM(94302,94312) = 4446905112

Least Common Multiple (LCM) of 94302 and 94312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94302 and 94312. First we will calculate the prime factors of 94302 and 94312.

Prime Factorization of 94302

Prime factors of 94302 are 2, 3, 13, 31. Prime factorization of 94302 in exponential form is:

94302 = 21 × 32 × 132 × 311

Prime Factorization of 94312

Prime factors of 94312 are 2, 11789. Prime factorization of 94312 in exponential form is:

94312 = 23 × 117891

Now multiplying the highest exponent prime factors to calculate the LCM of 94302 and 94312.

LCM(94302,94312) = 23 × 32 × 132 × 311 × 117891
LCM(94302,94312) = 4446905112