Least Common Multiple of 1383 and 1388

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 1388 the smallest integer that is 1919604 that is divisible by both numbers.

Least Common Multiple (LCM) of 1383 and 1388 is 1919604.

LCM(1383,1388) = 1919604

LCM of 1383 and 1388

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

LCM of:
and

Least Common Multiple of 1383 and 1388

LCM of 1383 and 1388 is 1919604

Least common multiple can be found by multiplying the highest exponent prime factors of 1383 and 1388. First we will calculate the prime factors of 1383 and 1388.

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 1388


2 1388
2 694
347 347
1

Prime factors of 1388 are 2,347. Prime factorization of 1388 in exponential form is:

1388 = 22×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1383 and 1388.

LCM(1383,1388) = 22×31×3471×4611
LCM(1383,1388) = 1919604

Factors of 1383

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

1, 3, 461, 1383

Factors of 1388

List of positive integer factors of 1388 that divides 1388 without a remainder.

1, 2, 4, 347, 694, 1388

Least Common Multiple of 1383 and 1388 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 1388, than apply into the LCM equation.

GCF(1383,1388) = 1
LCM(1383,1388) = ( 1383 × 1388) / 1
LCM(1383,1388) = 1919604 / 1
LCM(1383,1388) = 1919604

Properties of LCM 1383 and 1388

(i) The LCM of 1388 and 1383 is associative

LCM of 1383 and 1388 = LCM of 1388 and 1383

Related Least Common Multiples of 1383

Related Least Common Multiples of 1388

Frequently Asked Questions on LCM of 1383 and 1388

1. What is the LCM of 1383 and 1388?

Answer: LCM of 1383 and 1388 is 1919604.

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 1388?

Answer: Factors of 1388 are 1, 2, 4, 347, 694, 1388. There are 6 integers that are factors of 1388. The greatest factor of 1388 is 1388.

4. How to Find the LCM of 1383 and 1388?

Answer:

Least Common Multiple of 1383 and 1388 = 1919604

Step 1: Find the prime factorization of 1383

1383 = 3 x 461

Step 2: Find the prime factorization of 1388

1388 = 2 x 2 x 347

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

LCM = 1919604 = 2 x 2 x 3 x 347 x 461

Step 4: Therefore, the least common multiple of 1383 and 1388 is 1919604.