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What is the Least Common Multiple of 1324 and 1329?

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 1324 and 1329 is 1759596.

LCM(1324,1329) = 1759596

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Least Common Multiple of 1324 and 1329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1324 and 1329, than apply into the LCM equation.

GCF(1324,1329) = 1
LCM(1324,1329) = ( 1324 × 1329) / 1
LCM(1324,1329) = 1759596 / 1
LCM(1324,1329) = 1759596

Least Common Multiple (LCM) of 1324 and 1329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1324 and 1329. First we will calculate the prime factors of 1324 and 1329.

Prime Factorization of 1324

Prime factors of 1324 are 2, 331. Prime factorization of 1324 in exponential form is:

1324 = 22 × 3311

Prime Factorization of 1329

Prime factors of 1329 are 3, 443. Prime factorization of 1329 in exponential form is:

1329 = 31 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 1324 and 1329.

LCM(1324,1329) = 22 × 3311 × 31 × 4431
LCM(1324,1329) = 1759596