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What is the Least Common Multiple of 7329 and 7343?

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 7329 and 7343 is 7688121.

LCM(7329,7343) = 7688121

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Least Common Multiple of 7329 and 7343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7329 and 7343, than apply into the LCM equation.

GCF(7329,7343) = 7
LCM(7329,7343) = ( 7329 × 7343) / 7
LCM(7329,7343) = 53816847 / 7
LCM(7329,7343) = 7688121

Least Common Multiple (LCM) of 7329 and 7343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7329 and 7343. First we will calculate the prime factors of 7329 and 7343.

Prime Factorization of 7329

Prime factors of 7329 are 3, 7, 349. Prime factorization of 7329 in exponential form is:

7329 = 31 × 71 × 3491

Prime Factorization of 7343

Prime factors of 7343 are 7, 1049. Prime factorization of 7343 in exponential form is:

7343 = 71 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 7329 and 7343.

LCM(7329,7343) = 31 × 71 × 3491 × 10491
LCM(7329,7343) = 7688121