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What is the Least Common Multiple of 94361 and 94365?

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 94361 and 94365 is 8904375765.

LCM(94361,94365) = 8904375765

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Least Common Multiple of 94361 and 94365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94361 and 94365, than apply into the LCM equation.

GCF(94361,94365) = 1
LCM(94361,94365) = ( 94361 × 94365) / 1
LCM(94361,94365) = 8904375765 / 1
LCM(94361,94365) = 8904375765

Least Common Multiple (LCM) of 94361 and 94365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94361 and 94365. First we will calculate the prime factors of 94361 and 94365.

Prime Factorization of 94361

Prime factors of 94361 are 127, 743. Prime factorization of 94361 in exponential form is:

94361 = 1271 × 7431

Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 34 × 51 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 94361 and 94365.

LCM(94361,94365) = 1271 × 7431 × 34 × 51 × 2331
LCM(94361,94365) = 8904375765