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What is the Least Common Multiple of 91335 and 91339?

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 91335 and 91339 is 8342447565.

LCM(91335,91339) = 8342447565

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Least Common Multiple of 91335 and 91339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91335 and 91339, than apply into the LCM equation.

GCF(91335,91339) = 1
LCM(91335,91339) = ( 91335 × 91339) / 1
LCM(91335,91339) = 8342447565 / 1
LCM(91335,91339) = 8342447565

Least Common Multiple (LCM) of 91335 and 91339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91335 and 91339. First we will calculate the prime factors of 91335 and 91339.

Prime Factorization of 91335

Prime factors of 91335 are 3, 5, 6089. Prime factorization of 91335 in exponential form is:

91335 = 31 × 51 × 60891

Prime Factorization of 91339

Prime factors of 91339 are 241, 379. Prime factorization of 91339 in exponential form is:

91339 = 2411 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 91335 and 91339.

LCM(91335,91339) = 31 × 51 × 60891 × 2411 × 3791
LCM(91335,91339) = 8342447565