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What is the Least Common Multiple of 94467 and 94479?

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 94467 and 94479 is 2975049231.

LCM(94467,94479) = 2975049231

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Least Common Multiple of 94467 and 94479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94467 and 94479, than apply into the LCM equation.

GCF(94467,94479) = 3
LCM(94467,94479) = ( 94467 × 94479) / 3
LCM(94467,94479) = 8925147693 / 3
LCM(94467,94479) = 2975049231

Least Common Multiple (LCM) of 94467 and 94479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94467 and 94479. First we will calculate the prime factors of 94467 and 94479.

Prime Factorization of 94467

Prime factors of 94467 are 3, 31489. Prime factorization of 94467 in exponential form is:

94467 = 31 × 314891

Prime Factorization of 94479

Prime factors of 94479 are 3, 7, 11, 409. Prime factorization of 94479 in exponential form is:

94479 = 31 × 71 × 111 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 94467 and 94479.

LCM(94467,94479) = 31 × 314891 × 71 × 111 × 4091
LCM(94467,94479) = 2975049231