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What is the Least Common Multiple of 91295 and 91309?

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 91295 and 91309 is 8336055155.

LCM(91295,91309) = 8336055155

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Least Common Multiple of 91295 and 91309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91295 and 91309, than apply into the LCM equation.

GCF(91295,91309) = 1
LCM(91295,91309) = ( 91295 × 91309) / 1
LCM(91295,91309) = 8336055155 / 1
LCM(91295,91309) = 8336055155

Least Common Multiple (LCM) of 91295 and 91309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91295 and 91309. First we will calculate the prime factors of 91295 and 91309.

Prime Factorization of 91295

Prime factors of 91295 are 5, 19, 31. Prime factorization of 91295 in exponential form is:

91295 = 51 × 191 × 312

Prime Factorization of 91309

Prime factors of 91309 are 91309. Prime factorization of 91309 in exponential form is:

91309 = 913091

Now multiplying the highest exponent prime factors to calculate the LCM of 91295 and 91309.

LCM(91295,91309) = 51 × 191 × 312 × 913091
LCM(91295,91309) = 8336055155