Least Common Multiple of 4389 and 4391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4389 and 4391 the smallest integer that is 19272099 that is divisible by both numbers.

Least Common Multiple (LCM) of 4389 and 4391 is 19272099.

LCM(4389,4391) = 19272099

LCM of 4389 and 4391

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

LCM of:
and

Least Common Multiple of 4389 and 4391

LCM of 4389 and 4391 is 19272099

Least common multiple can be found by multiplying the highest exponent prime factors of 4389 and 4391. First we will calculate the prime factors of 4389 and 4391.

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

Prime Factorization of 4391


4391 4391
1

Prime factors of 4391 are 4391. Prime factorization of 4391 in exponential form is:

4391 = 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 4389 and 4391.

LCM(4389,4391) = 31×71×111×191×43911
LCM(4389,4391) = 19272099

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

Factors of 4391

List of positive integer factors of 4391 that divides 4391 without a remainder.

1, 4391

Least Common Multiple of 4389 and 4391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4389 and 4391, than apply into the LCM equation.

GCF(4389,4391) = 1
LCM(4389,4391) = ( 4389 × 4391) / 1
LCM(4389,4391) = 19272099 / 1
LCM(4389,4391) = 19272099

Properties of LCM 4389 and 4391

(i) The LCM of 4391 and 4389 is associative

LCM of 4389 and 4391 = LCM of 4391 and 4389

Related Least Common Multiples of 4389

Related Least Common Multiples of 4391

Frequently Asked Questions on LCM of 4389 and 4391

1. What is the LCM of 4389 and 4391?

Answer: LCM of 4389 and 4391 is 19272099.

2. 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.

3. What are the Factors of 4391?

Answer: Factors of 4391 are 1, 4391. There are 2 integers that are factors of 4391. The greatest factor of 4391 is 4391.

4. How to Find the LCM of 4389 and 4391?

Answer:

Least Common Multiple of 4389 and 4391 = 19272099

Step 1: Find the prime factorization of 4389

4389 = 3 x 7 x 11 x 19

Step 2: Find the prime factorization of 4391

4391 = 4391

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

LCM = 19272099 = 3 x 7 x 11 x 19 x 4391

Step 4: Therefore, the least common multiple of 4389 and 4391 is 19272099.