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What is the Least Common Multiple of 94279 and 94285?

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 94279 and 94285 is 8889095515.

LCM(94279,94285) = 8889095515

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Least Common Multiple of 94279 and 94285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94279 and 94285, than apply into the LCM equation.

GCF(94279,94285) = 1
LCM(94279,94285) = ( 94279 × 94285) / 1
LCM(94279,94285) = 8889095515 / 1
LCM(94279,94285) = 8889095515

Least Common Multiple (LCM) of 94279 and 94285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94279 and 94285. First we will calculate the prime factors of 94279 and 94285.

Prime Factorization of 94279

Prime factors of 94279 are 29, 3251. Prime factorization of 94279 in exponential form is:

94279 = 291 × 32511

Prime Factorization of 94285

Prime factors of 94285 are 5, 109, 173. Prime factorization of 94285 in exponential form is:

94285 = 51 × 1091 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 94279 and 94285.

LCM(94279,94285) = 291 × 32511 × 51 × 1091 × 1731
LCM(94279,94285) = 8889095515