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What is the Least Common Multiple of 92323 and 92343?

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 92343 is 8525382789.

LCM(92323,92343) = 8525382789

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Least Common Multiple of 92323 and 92343 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 92343, than apply into the LCM equation.

GCF(92323,92343) = 1
LCM(92323,92343) = ( 92323 × 92343) / 1
LCM(92323,92343) = 8525382789 / 1
LCM(92323,92343) = 8525382789

Least Common Multiple (LCM) of 92323 and 92343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92323 and 92343. First we will calculate the prime factors of 92323 and 92343.

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 92343

Prime factors of 92343 are 3, 30781. Prime factorization of 92343 in exponential form is:

92343 = 31 × 307811

Now multiplying the highest exponent prime factors to calculate the LCM of 92323 and 92343.

LCM(92323,92343) = 71 × 112 × 1091 × 31 × 307811
LCM(92323,92343) = 8525382789