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What is the Least Common Multiple of 91333 and 91342?

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 91333 and 91342 is 8342538886.

LCM(91333,91342) = 8342538886

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Least Common Multiple of 91333 and 91342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91333 and 91342, than apply into the LCM equation.

GCF(91333,91342) = 1
LCM(91333,91342) = ( 91333 × 91342) / 1
LCM(91333,91342) = 8342538886 / 1
LCM(91333,91342) = 8342538886

Least Common Multiple (LCM) of 91333 and 91342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91333 and 91342. First we will calculate the prime factors of 91333 and 91342.

Prime Factorization of 91333

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

91333 = 111 × 192 × 231

Prime Factorization of 91342

Prime factors of 91342 are 2, 109, 419. Prime factorization of 91342 in exponential form is:

91342 = 21 × 1091 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 91333 and 91342.

LCM(91333,91342) = 111 × 192 × 231 × 21 × 1091 × 4191
LCM(91333,91342) = 8342538886