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What is the Least Common Multiple of 94395 and 94407?

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 94407 is 2970516255.

LCM(94395,94407) = 2970516255

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Least Common Multiple of 94395 and 94407 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 94407, than apply into the LCM equation.

GCF(94395,94407) = 3
LCM(94395,94407) = ( 94395 × 94407) / 3
LCM(94395,94407) = 8911548765 / 3
LCM(94395,94407) = 2970516255

Least Common Multiple (LCM) of 94395 and 94407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94395 and 94407. First we will calculate the prime factors of 94395 and 94407.

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 94407

Prime factors of 94407 are 3, 31469. Prime factorization of 94407 in exponential form is:

94407 = 31 × 314691

Now multiplying the highest exponent prime factors to calculate the LCM of 94395 and 94407.

LCM(94395,94407) = 31 × 51 × 71 × 291 × 311 × 314691
LCM(94395,94407) = 2970516255