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What is the Least Common Multiple of 1383 and 1389?

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 1383 and 1389 is 640329.

LCM(1383,1389) = 640329

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Least Common Multiple of 1383 and 1389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1383 and 1389, than apply into the LCM equation.

GCF(1383,1389) = 3
LCM(1383,1389) = ( 1383 × 1389) / 3
LCM(1383,1389) = 1920987 / 3
LCM(1383,1389) = 640329

Least Common Multiple (LCM) of 1383 and 1389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1383 and 1389. First we will calculate the prime factors of 1383 and 1389.

Prime Factorization of 1383

Prime factors of 1383 are 3, 461. Prime factorization of 1383 in exponential form is:

1383 = 31 × 4611

Prime Factorization of 1389

Prime factors of 1389 are 3, 463. Prime factorization of 1389 in exponential form is:

1389 = 31 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 1383 and 1389.

LCM(1383,1389) = 31 × 4611 × 4631
LCM(1383,1389) = 640329