Least Common Multiple of 5399 and 5403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5399 and 5403 the smallest integer that is 29170797 that is divisible by both numbers.

Least Common Multiple (LCM) of 5399 and 5403 is 29170797.

LCM(5399,5403) = 29170797

LCM of 5399 and 5403

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

LCM of:
and

Least Common Multiple of 5399 and 5403

LCM of 5399 and 5403 is 29170797

Least common multiple can be found by multiplying the highest exponent prime factors of 5399 and 5403. First we will calculate the prime factors of 5399 and 5403.

Prime Factorization of 5399


5399 5399
1

Prime factors of 5399 are 5399. Prime factorization of 5399 in exponential form is:

5399 = 53991

Prime Factorization of 5403


3 5403
1801 1801
1

Prime factors of 5403 are 3,1801. Prime factorization of 5403 in exponential form is:

5403 = 31×18011

Now multiplying the highest exponent prime factors to calculate the LCM of 5399 and 5403.

LCM(5399,5403) = 31×18011×53991
LCM(5399,5403) = 29170797

Factors of 5399

List of positive integer factors of 5399 that divides 5399 without a remainder.

1, 5399

Factors of 5403

List of positive integer factors of 5403 that divides 5403 without a remainder.

1, 3, 1801, 5403

Least Common Multiple of 5399 and 5403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5399 and 5403, than apply into the LCM equation.

GCF(5399,5403) = 1
LCM(5399,5403) = ( 5399 × 5403) / 1
LCM(5399,5403) = 29170797 / 1
LCM(5399,5403) = 29170797

Properties of LCM 5399 and 5403

(i) The LCM of 5403 and 5399 is associative

LCM of 5399 and 5403 = LCM of 5403 and 5399

Related Least Common Multiples of 5399

Related Least Common Multiples of 5403

Frequently Asked Questions on LCM of 5399 and 5403

1. What is the LCM of 5399 and 5403?

Answer: LCM of 5399 and 5403 is 29170797.

2. What are the Factors of 5399?

Answer: Factors of 5399 are 1, 5399. There are 2 integers that are factors of 5399. The greatest factor of 5399 is 5399.

3. What are the Factors of 5403?

Answer: Factors of 5403 are 1, 3, 1801, 5403. There are 4 integers that are factors of 5403. The greatest factor of 5403 is 5403.

4. How to Find the LCM of 5399 and 5403?

Answer:

Least Common Multiple of 5399 and 5403 = 29170797

Step 1: Find the prime factorization of 5399

5399 = 5399

Step 2: Find the prime factorization of 5403

5403 = 3 x 1801

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

LCM = 29170797 = 3 x 1801 x 5399

Step 4: Therefore, the least common multiple of 5399 and 5403 is 29170797.