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What is the Least Common Multiple of 94382 and 94387?

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 94382 and 94387 is 8908433834.

LCM(94382,94387) = 8908433834

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Least Common Multiple of 94382 and 94387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94382 and 94387, than apply into the LCM equation.

GCF(94382,94387) = 1
LCM(94382,94387) = ( 94382 × 94387) / 1
LCM(94382,94387) = 8908433834 / 1
LCM(94382,94387) = 8908433834

Least Common Multiple (LCM) of 94382 and 94387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94382 and 94387. First we will calculate the prime factors of 94382 and 94387.

Prime Factorization of 94382

Prime factors of 94382 are 2, 41, 1151. Prime factorization of 94382 in exponential form is:

94382 = 21 × 411 × 11511

Prime Factorization of 94387

Prime factors of 94387 are 37, 2551. Prime factorization of 94387 in exponential form is:

94387 = 371 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 94382 and 94387.

LCM(94382,94387) = 21 × 411 × 11511 × 371 × 25511
LCM(94382,94387) = 8908433834