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What is the Least Common Multiple of 94275 and 94287?

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 94275 and 94287 is 2962968975.

LCM(94275,94287) = 2962968975

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Least Common Multiple of 94275 and 94287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94275 and 94287, than apply into the LCM equation.

GCF(94275,94287) = 3
LCM(94275,94287) = ( 94275 × 94287) / 3
LCM(94275,94287) = 8888906925 / 3
LCM(94275,94287) = 2962968975

Least Common Multiple (LCM) of 94275 and 94287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94275 and 94287. First we will calculate the prime factors of 94275 and 94287.

Prime Factorization of 94275

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

94275 = 32 × 52 × 4191

Prime Factorization of 94287

Prime factors of 94287 are 3, 53, 593. Prime factorization of 94287 in exponential form is:

94287 = 31 × 531 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 94275 and 94287.

LCM(94275,94287) = 32 × 52 × 4191 × 531 × 5931
LCM(94275,94287) = 2962968975