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What is the Least Common Multiple of 86323 and 86333?

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 86323 and 86333 is 7452523559.

LCM(86323,86333) = 7452523559

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Least Common Multiple of 86323 and 86333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86323 and 86333, than apply into the LCM equation.

GCF(86323,86333) = 1
LCM(86323,86333) = ( 86323 × 86333) / 1
LCM(86323,86333) = 7452523559 / 1
LCM(86323,86333) = 7452523559

Least Common Multiple (LCM) of 86323 and 86333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86323 and 86333. First we will calculate the prime factors of 86323 and 86333.

Prime Factorization of 86323

Prime factors of 86323 are 86323. Prime factorization of 86323 in exponential form is:

86323 = 863231

Prime Factorization of 86333

Prime factors of 86333 are 13, 29, 229. Prime factorization of 86333 in exponential form is:

86333 = 131 × 291 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 86323 and 86333.

LCM(86323,86333) = 863231 × 131 × 291 × 2291
LCM(86323,86333) = 7452523559