Least Common Multiple of 1383 and 1384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1383 and 1384 the smallest integer that is 1914072 that is divisible by both numbers.

Least Common Multiple (LCM) of 1383 and 1384 is 1914072.

LCM(1383,1384) = 1914072

LCM of 1383 and 1384

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

LCM of:
and

Least Common Multiple of 1383 and 1384

LCM of 1383 and 1384 is 1914072

Least common multiple can be found by multiplying the highest exponent prime factors of 1383 and 1384. First we will calculate the prime factors of 1383 and 1384.

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

Prime Factorization of 1384


2 1384
2 692
2 346
173 173
1

Prime factors of 1384 are 2,173. Prime factorization of 1384 in exponential form is:

1384 = 23×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1383 and 1384.

LCM(1383,1384) = 23×31×1731×4611
LCM(1383,1384) = 1914072

Factors of 1383

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

1, 3, 461, 1383

Factors of 1384

List of positive integer factors of 1384 that divides 1384 without a remainder.

1, 2, 4, 8, 173, 346, 692, 1384

Least Common Multiple of 1383 and 1384 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 1384, than apply into the LCM equation.

GCF(1383,1384) = 1
LCM(1383,1384) = ( 1383 × 1384) / 1
LCM(1383,1384) = 1914072 / 1
LCM(1383,1384) = 1914072

Properties of LCM 1383 and 1384

(i) The LCM of 1384 and 1383 is associative

LCM of 1383 and 1384 = LCM of 1384 and 1383

Related Least Common Multiples of 1383

Related Least Common Multiples of 1384

Frequently Asked Questions on LCM of 1383 and 1384

1. What is the LCM of 1383 and 1384?

Answer: LCM of 1383 and 1384 is 1914072.

2. 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.

3. What are the Factors of 1384?

Answer: Factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384. There are 8 integers that are factors of 1384. The greatest factor of 1384 is 1384.

4. How to Find the LCM of 1383 and 1384?

Answer:

Least Common Multiple of 1383 and 1384 = 1914072

Step 1: Find the prime factorization of 1383

1383 = 3 x 461

Step 2: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

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

LCM = 1914072 = 2 x 2 x 2 x 3 x 173 x 461

Step 4: Therefore, the least common multiple of 1383 and 1384 is 1914072.