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What is the Least Common Multiple of 91317 and 91333?

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 91317 and 91333 is 8340255561.

LCM(91317,91333) = 8340255561

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Least Common Multiple of 91317 and 91333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91317 and 91333, than apply into the LCM equation.

GCF(91317,91333) = 1
LCM(91317,91333) = ( 91317 × 91333) / 1
LCM(91317,91333) = 8340255561 / 1
LCM(91317,91333) = 8340255561

Least Common Multiple (LCM) of 91317 and 91333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91317 and 91333. First we will calculate the prime factors of 91317 and 91333.

Prime Factorization of 91317

Prime factors of 91317 are 3, 61, 499. Prime factorization of 91317 in exponential form is:

91317 = 31 × 611 × 4991

Prime Factorization of 91333

Prime factors of 91333 are 11, 19, 23. Prime factorization of 91333 in exponential form is:

91333 = 111 × 192 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 91317 and 91333.

LCM(91317,91333) = 31 × 611 × 4991 × 111 × 192 × 231
LCM(91317,91333) = 8340255561