Least Common Multiple of 4383 and 4389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4383 and 4389 the smallest integer that is 6412329 that is divisible by both numbers.

Least Common Multiple (LCM) of 4383 and 4389 is 6412329.

LCM(4383,4389) = 6412329

LCM of 4383 and 4389

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

LCM of:
and

Least Common Multiple of 4383 and 4389

LCM of 4383 and 4389 is 6412329

Least common multiple can be found by multiplying the highest exponent prime factors of 4383 and 4389. First we will calculate the prime factors of 4383 and 4389.

Prime Factorization of 4383


3 4383
3 1461
487 487
1

Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:

4383 = 32×4871

Prime Factorization of 4389


3 4389
7 1463
11 209
19 19
1

Prime factors of 4389 are 3, 7, 11,19. Prime factorization of 4389 in exponential form is:

4389 = 31×71×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4383 and 4389.

LCM(4383,4389) = 32×71×111×191×4871
LCM(4383,4389) = 6412329

Factors of 4383

List of positive integer factors of 4383 that divides 4383 without a remainder.

1, 3, 9, 487, 1461, 4383

Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389

Least Common Multiple of 4383 and 4389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4383 and 4389, than apply into the LCM equation.

GCF(4383,4389) = 3
LCM(4383,4389) = ( 4383 × 4389) / 3
LCM(4383,4389) = 19236987 / 3
LCM(4383,4389) = 6412329

Properties of LCM 4383 and 4389

(i) The LCM of 4389 and 4383 is associative

LCM of 4383 and 4389 = LCM of 4389 and 4383

Related Least Common Multiples of 4383

Related Least Common Multiples of 4389

Frequently Asked Questions on LCM of 4383 and 4389

1. What is the LCM of 4383 and 4389?

Answer: LCM of 4383 and 4389 is 6412329.

2. What are the Factors of 4383?

Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.

3. What are the Factors of 4389?

Answer: Factors of 4389 are 1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389. There are 16 integers that are factors of 4389. The greatest factor of 4389 is 4389.

4. How to Find the LCM of 4383 and 4389?

Answer:

Least Common Multiple of 4383 and 4389 = 6412329

Step 1: Find the prime factorization of 4383

4383 = 3 x 3 x 487

Step 2: Find the prime factorization of 4389

4389 = 3 x 7 x 11 x 19

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

LCM = 6412329 = 3 x 3 x 7 x 11 x 19 x 487

Step 4: Therefore, the least common multiple of 4383 and 4389 is 6412329.