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What is the Least Common Multiple of 95663 and 95682?

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 95663 and 95682 is 9153227166.

LCM(95663,95682) = 9153227166

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Least Common Multiple of 95663 and 95682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95663 and 95682, than apply into the LCM equation.

GCF(95663,95682) = 1
LCM(95663,95682) = ( 95663 × 95682) / 1
LCM(95663,95682) = 9153227166 / 1
LCM(95663,95682) = 9153227166

Least Common Multiple (LCM) of 95663 and 95682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95663 and 95682. First we will calculate the prime factors of 95663 and 95682.

Prime Factorization of 95663

Prime factors of 95663 are 271, 353. Prime factorization of 95663 in exponential form is:

95663 = 2711 × 3531

Prime Factorization of 95682

Prime factors of 95682 are 2, 3, 37, 431. Prime factorization of 95682 in exponential form is:

95682 = 21 × 31 × 371 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 95663 and 95682.

LCM(95663,95682) = 2711 × 3531 × 21 × 31 × 371 × 4311
LCM(95663,95682) = 9153227166