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What is the Least Common Multiple of 92323 and 92341?

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 92323 and 92341 is 8525198143.

LCM(92323,92341) = 8525198143

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Least Common Multiple of 92323 and 92341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92323 and 92341, than apply into the LCM equation.

GCF(92323,92341) = 1
LCM(92323,92341) = ( 92323 × 92341) / 1
LCM(92323,92341) = 8525198143 / 1
LCM(92323,92341) = 8525198143

Least Common Multiple (LCM) of 92323 and 92341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92323 and 92341. First we will calculate the prime factors of 92323 and 92341.

Prime Factorization of 92323

Prime factors of 92323 are 7, 11, 109. Prime factorization of 92323 in exponential form is:

92323 = 71 × 112 × 1091

Prime Factorization of 92341

Prime factors of 92341 are 107, 863. Prime factorization of 92341 in exponential form is:

92341 = 1071 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 92323 and 92341.

LCM(92323,92341) = 71 × 112 × 1091 × 1071 × 8631
LCM(92323,92341) = 8525198143