Least Common Multiple of 4389 and 4396

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 4396 the smallest integer that is 2756292 that is divisible by both numbers.

Least Common Multiple (LCM) of 4389 and 4396 is 2756292.

LCM(4389,4396) = 2756292

LCM of 4389 and 4396

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

LCM of:
and

Least Common Multiple of 4389 and 4396

LCM of 4389 and 4396 is 2756292

Least common multiple can be found by multiplying the highest exponent prime factors of 4389 and 4396. First we will calculate the prime factors of 4389 and 4396.

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 4396


2 4396
2 2198
7 1099
157 157
1

Prime factors of 4396 are 2, 7,157. Prime factorization of 4396 in exponential form is:

4396 = 22×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4389 and 4396.

LCM(4389,4396) = 22×31×71×111×191×1571
LCM(4389,4396) = 2756292

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 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396

Least Common Multiple of 4389 and 4396 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 4396, than apply into the LCM equation.

GCF(4389,4396) = 7
LCM(4389,4396) = ( 4389 × 4396) / 7
LCM(4389,4396) = 19294044 / 7
LCM(4389,4396) = 2756292

Properties of LCM 4389 and 4396

(i) The LCM of 4396 and 4389 is associative

LCM of 4389 and 4396 = LCM of 4396 and 4389

Related Least Common Multiples of 4389

Related Least Common Multiples of 4396

Frequently Asked Questions on LCM of 4389 and 4396

1. What is the LCM of 4389 and 4396?

Answer: LCM of 4389 and 4396 is 2756292.

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 4396?

Answer: Factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396. There are 12 integers that are factors of 4396. The greatest factor of 4396 is 4396.

4. How to Find the LCM of 4389 and 4396?

Answer:

Least Common Multiple of 4389 and 4396 = 2756292

Step 1: Find the prime factorization of 4389

4389 = 3 x 7 x 11 x 19

Step 2: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

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

LCM = 2756292 = 2 x 2 x 3 x 7 x 11 x 19 x 157

Step 4: Therefore, the least common multiple of 4389 and 4396 is 2756292.