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What is the Least Common Multiple of 97323 and 97327?

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 97323 and 97327 is 9472155621.

LCM(97323,97327) = 9472155621

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Least Common Multiple of 97323 and 97327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97323 and 97327, than apply into the LCM equation.

GCF(97323,97327) = 1
LCM(97323,97327) = ( 97323 × 97327) / 1
LCM(97323,97327) = 9472155621 / 1
LCM(97323,97327) = 9472155621

Least Common Multiple (LCM) of 97323 and 97327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97323 and 97327. First we will calculate the prime factors of 97323 and 97327.

Prime Factorization of 97323

Prime factors of 97323 are 3, 32441. Prime factorization of 97323 in exponential form is:

97323 = 31 × 324411

Prime Factorization of 97327

Prime factors of 97327 are 97327. Prime factorization of 97327 in exponential form is:

97327 = 973271

Now multiplying the highest exponent prime factors to calculate the LCM of 97323 and 97327.

LCM(97323,97327) = 31 × 324411 × 973271
LCM(97323,97327) = 9472155621