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What is the Least Common Multiple of 91266 and 91281?

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 91281 is 2776950582.

LCM(91266,91281) = 2776950582

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Least Common Multiple of 91266 and 91281 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 91281, than apply into the LCM equation.

GCF(91266,91281) = 3
LCM(91266,91281) = ( 91266 × 91281) / 3
LCM(91266,91281) = 8330851746 / 3
LCM(91266,91281) = 2776950582

Least Common Multiple (LCM) of 91266 and 91281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91266 and 91281. First we will calculate the prime factors of 91266 and 91281.

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 91281

Prime factors of 91281 are 3, 30427. Prime factorization of 91281 in exponential form is:

91281 = 31 × 304271

Now multiplying the highest exponent prime factors to calculate the LCM of 91266 and 91281.

LCM(91266,91281) = 21 × 31 × 71 × 411 × 531 × 304271
LCM(91266,91281) = 2776950582