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What is the Least Common Multiple of 92309 and 92323?

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 92309 and 92323 is 1217463401.

LCM(92309,92323) = 1217463401

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Least Common Multiple of 92309 and 92323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92309 and 92323, than apply into the LCM equation.

GCF(92309,92323) = 7
LCM(92309,92323) = ( 92309 × 92323) / 7
LCM(92309,92323) = 8522243807 / 7
LCM(92309,92323) = 1217463401

Least Common Multiple (LCM) of 92309 and 92323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92309 and 92323. First we will calculate the prime factors of 92309 and 92323.

Prime Factorization of 92309

Prime factors of 92309 are 7, 13187. Prime factorization of 92309 in exponential form is:

92309 = 71 × 131871

Prime Factorization of 92323

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

92323 = 71 × 112 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 92309 and 92323.

LCM(92309,92323) = 71 × 131871 × 112 × 1091
LCM(92309,92323) = 1217463401