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What is the Least Common Multiple of 94257 and 94275?

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 94257 and 94275 is 987342075.

LCM(94257,94275) = 987342075

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Least Common Multiple of 94257 and 94275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94257 and 94275, than apply into the LCM equation.

GCF(94257,94275) = 9
LCM(94257,94275) = ( 94257 × 94275) / 9
LCM(94257,94275) = 8886078675 / 9
LCM(94257,94275) = 987342075

Least Common Multiple (LCM) of 94257 and 94275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94257 and 94275. First we will calculate the prime factors of 94257 and 94275.

Prime Factorization of 94257

Prime factors of 94257 are 3, 3491. Prime factorization of 94257 in exponential form is:

94257 = 33 × 34911

Prime Factorization of 94275

Prime factors of 94275 are 3, 5, 419. Prime factorization of 94275 in exponential form is:

94275 = 32 × 52 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 94257 and 94275.

LCM(94257,94275) = 33 × 34911 × 52 × 4191
LCM(94257,94275) = 987342075