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What is the Least Common Multiple of 7323 and 7341?

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 7323 and 7341 is 17919381.

LCM(7323,7341) = 17919381

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Least Common Multiple of 7323 and 7341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7323 and 7341, than apply into the LCM equation.

GCF(7323,7341) = 3
LCM(7323,7341) = ( 7323 × 7341) / 3
LCM(7323,7341) = 53758143 / 3
LCM(7323,7341) = 17919381

Least Common Multiple (LCM) of 7323 and 7341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7323 and 7341. First we will calculate the prime factors of 7323 and 7341.

Prime Factorization of 7323

Prime factors of 7323 are 3, 2441. Prime factorization of 7323 in exponential form is:

7323 = 31 × 24411

Prime Factorization of 7341

Prime factors of 7341 are 3, 2447. Prime factorization of 7341 in exponential form is:

7341 = 31 × 24471

Now multiplying the highest exponent prime factors to calculate the LCM of 7323 and 7341.

LCM(7323,7341) = 31 × 24411 × 24471
LCM(7323,7341) = 17919381