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What is the Least Common Multiple of 94329 and 94335?

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 94329 and 94335 is 2966175405.

LCM(94329,94335) = 2966175405

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Least Common Multiple of 94329 and 94335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94329 and 94335, than apply into the LCM equation.

GCF(94329,94335) = 3
LCM(94329,94335) = ( 94329 × 94335) / 3
LCM(94329,94335) = 8898526215 / 3
LCM(94329,94335) = 2966175405

Least Common Multiple (LCM) of 94329 and 94335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94329 and 94335. First we will calculate the prime factors of 94329 and 94335.

Prime Factorization of 94329

Prime factors of 94329 are 3, 47, 223. Prime factorization of 94329 in exponential form is:

94329 = 32 × 471 × 2231

Prime Factorization of 94335

Prime factors of 94335 are 3, 5, 19, 331. Prime factorization of 94335 in exponential form is:

94335 = 31 × 51 × 191 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 94329 and 94335.

LCM(94329,94335) = 32 × 471 × 2231 × 51 × 191 × 3311
LCM(94329,94335) = 2966175405