Least Common Multiple of 1382 and 1383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1382 and 1383 the smallest integer that is 1911306 that is divisible by both numbers.

Least Common Multiple (LCM) of 1382 and 1383 is 1911306.

LCM(1382,1383) = 1911306

LCM of 1382 and 1383

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1382 and 1383

LCM of 1382 and 1383 is 1911306

Least common multiple can be found by multiplying the highest exponent prime factors of 1382 and 1383. First we will calculate the prime factors of 1382 and 1383.

Prime Factorization of 1382


2 1382
691 691
1

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

1382 = 21×6911

Prime Factorization of 1383


3 1383
461 461
1

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

1383 = 31×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 1382 and 1383.

LCM(1382,1383) = 21×31×4611×6911
LCM(1382,1383) = 1911306

Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1, 2, 691, 1382

Factors of 1383

List of positive integer factors of 1383 that divides 1383 without a remainder.

1, 3, 461, 1383

Least Common Multiple of 1382 and 1383 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 1383, than apply into the LCM equation.

GCF(1382,1383) = 1
LCM(1382,1383) = ( 1382 × 1383) / 1
LCM(1382,1383) = 1911306 / 1
LCM(1382,1383) = 1911306

Properties of LCM 1382 and 1383

(i) The LCM of 1383 and 1382 is associative

LCM of 1382 and 1383 = LCM of 1383 and 1382

Related Least Common Multiples of 1382

Related Least Common Multiples of 1383

Frequently Asked Questions on LCM of 1382 and 1383

1. What is the LCM of 1382 and 1383?

Answer: LCM of 1382 and 1383 is 1911306.

2. What are the Factors of 1382?

Answer: Factors of 1382 are 1, 2, 691, 1382. There are 4 integers that are factors of 1382. The greatest factor of 1382 is 1382.

3. What are the Factors of 1383?

Answer: Factors of 1383 are 1, 3, 461, 1383. There are 4 integers that are factors of 1383. The greatest factor of 1383 is 1383.

4. How to Find the LCM of 1382 and 1383?

Answer:

Least Common Multiple of 1382 and 1383 = 1911306

Step 1: Find the prime factorization of 1382

1382 = 2 x 691

Step 2: Find the prime factorization of 1383

1383 = 3 x 461

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1911306 = 2 x 3 x 461 x 691

Step 4: Therefore, the least common multiple of 1382 and 1383 is 1911306.