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What is the Least Common Multiple of 94395 and 94413?

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 94395 and 94413 is 2970705045.

LCM(94395,94413) = 2970705045

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Least Common Multiple of 94395 and 94413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94395 and 94413, than apply into the LCM equation.

GCF(94395,94413) = 3
LCM(94395,94413) = ( 94395 × 94413) / 3
LCM(94395,94413) = 8912115135 / 3
LCM(94395,94413) = 2970705045

Least Common Multiple (LCM) of 94395 and 94413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94395 and 94413. First we will calculate the prime factors of 94395 and 94413.

Prime Factorization of 94395

Prime factors of 94395 are 3, 5, 7, 29, 31. Prime factorization of 94395 in exponential form is:

94395 = 31 × 51 × 71 × 291 × 311

Prime Factorization of 94413

Prime factors of 94413 are 3, 11, 2861. Prime factorization of 94413 in exponential form is:

94413 = 31 × 111 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 94395 and 94413.

LCM(94395,94413) = 31 × 51 × 71 × 291 × 311 × 111 × 28611
LCM(94395,94413) = 2970705045