Least Common Multiple of 4389 and 4395

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 4395 the smallest integer that is 6429885 that is divisible by both numbers.

Least Common Multiple (LCM) of 4389 and 4395 is 6429885.

LCM(4389,4395) = 6429885

LCM of 4389 and 4395

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

LCM of:
and

Least Common Multiple of 4389 and 4395

LCM of 4389 and 4395 is 6429885

Least common multiple can be found by multiplying the highest exponent prime factors of 4389 and 4395. First we will calculate the prime factors of 4389 and 4395.

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 4395


3 4395
5 1465
293 293
1

Prime factors of 4395 are 3, 5,293. Prime factorization of 4395 in exponential form is:

4395 = 31×51×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 4389 and 4395.

LCM(4389,4395) = 31×51×71×111×191×2931
LCM(4389,4395) = 6429885

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 4395

List of positive integer factors of 4395 that divides 4395 without a remainder.

1, 3, 5, 15, 293, 879, 1465, 4395

Least Common Multiple of 4389 and 4395 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 4395, than apply into the LCM equation.

GCF(4389,4395) = 3
LCM(4389,4395) = ( 4389 × 4395) / 3
LCM(4389,4395) = 19289655 / 3
LCM(4389,4395) = 6429885

Properties of LCM 4389 and 4395

(i) The LCM of 4395 and 4389 is associative

LCM of 4389 and 4395 = LCM of 4395 and 4389

Related Least Common Multiples of 4389

Related Least Common Multiples of 4395

Frequently Asked Questions on LCM of 4389 and 4395

1. What is the LCM of 4389 and 4395?

Answer: LCM of 4389 and 4395 is 6429885.

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 4395?

Answer: Factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395. There are 8 integers that are factors of 4395. The greatest factor of 4395 is 4395.

4. How to Find the LCM of 4389 and 4395?

Answer:

Least Common Multiple of 4389 and 4395 = 6429885

Step 1: Find the prime factorization of 4389

4389 = 3 x 7 x 11 x 19

Step 2: Find the prime factorization of 4395

4395 = 3 x 5 x 293

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

LCM = 6429885 = 3 x 5 x 7 x 11 x 19 x 293

Step 4: Therefore, the least common multiple of 4389 and 4395 is 6429885.