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What is the Least Common Multiple of 94275 and 94282?

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 94282 is 8888435550.

LCM(94275,94282) = 8888435550

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Least Common Multiple of 94275 and 94282 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 94282, than apply into the LCM equation.

GCF(94275,94282) = 1
LCM(94275,94282) = ( 94275 × 94282) / 1
LCM(94275,94282) = 8888435550 / 1
LCM(94275,94282) = 8888435550

Least Common Multiple (LCM) of 94275 and 94282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94275 and 94282. First we will calculate the prime factors of 94275 and 94282.

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 94282

Prime factors of 94282 are 2, 17, 47, 59. Prime factorization of 94282 in exponential form is:

94282 = 21 × 171 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 94275 and 94282.

LCM(94275,94282) = 32 × 52 × 4191 × 21 × 171 × 471 × 591
LCM(94275,94282) = 8888435550