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What is the Least Common Multiple of 1382 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 1382 and 1389 is 1919598.

LCM(1382,1389) = 1919598

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Least Common Multiple of 1382 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 1382 and 1389, than apply into the LCM equation.

GCF(1382,1389) = 1
LCM(1382,1389) = ( 1382 × 1389) / 1
LCM(1382,1389) = 1919598 / 1
LCM(1382,1389) = 1919598

Least Common Multiple (LCM) of 1382 and 1389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1382 and 1389. First we will calculate the prime factors of 1382 and 1389.

Prime Factorization of 1382

Prime factors of 1382 are 2, 691. Prime factorization of 1382 in exponential form is:

1382 = 21 × 6911

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 1382 and 1389.

LCM(1382,1389) = 21 × 6911 × 31 × 4631
LCM(1382,1389) = 1919598