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What is the Least Common Multiple of 91266 and 91285?

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 91266 and 91285 is 8331216810.

LCM(91266,91285) = 8331216810

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Least Common Multiple of 91266 and 91285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91266 and 91285, than apply into the LCM equation.

GCF(91266,91285) = 1
LCM(91266,91285) = ( 91266 × 91285) / 1
LCM(91266,91285) = 8331216810 / 1
LCM(91266,91285) = 8331216810

Least Common Multiple (LCM) of 91266 and 91285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91266 and 91285. First we will calculate the prime factors of 91266 and 91285.

Prime Factorization of 91266

Prime factors of 91266 are 2, 3, 7, 41, 53. Prime factorization of 91266 in exponential form is:

91266 = 21 × 31 × 71 × 411 × 531

Prime Factorization of 91285

Prime factors of 91285 are 5, 18257. Prime factorization of 91285 in exponential form is:

91285 = 51 × 182571

Now multiplying the highest exponent prime factors to calculate the LCM of 91266 and 91285.

LCM(91266,91285) = 21 × 31 × 71 × 411 × 531 × 51 × 182571
LCM(91266,91285) = 8331216810