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What is the Least Common Multiple of 91365 and 91381?

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 91365 and 91381 is 8349025065.

LCM(91365,91381) = 8349025065

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Least Common Multiple of 91365 and 91381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91365 and 91381, than apply into the LCM equation.

GCF(91365,91381) = 1
LCM(91365,91381) = ( 91365 × 91381) / 1
LCM(91365,91381) = 8349025065 / 1
LCM(91365,91381) = 8349025065

Least Common Multiple (LCM) of 91365 and 91381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91365 and 91381. First we will calculate the prime factors of 91365 and 91381.

Prime Factorization of 91365

Prime factors of 91365 are 3, 5, 6091. Prime factorization of 91365 in exponential form is:

91365 = 31 × 51 × 60911

Prime Factorization of 91381

Prime factors of 91381 are 91381. Prime factorization of 91381 in exponential form is:

91381 = 913811

Now multiplying the highest exponent prime factors to calculate the LCM of 91365 and 91381.

LCM(91365,91381) = 31 × 51 × 60911 × 913811
LCM(91365,91381) = 8349025065