Least Common Multiple of 5398 and 5402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5398 and 5402 the smallest integer that is 14579998 that is divisible by both numbers.

Least Common Multiple (LCM) of 5398 and 5402 is 14579998.

LCM(5398,5402) = 14579998

LCM of 5398 and 5402

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

LCM of:
and

Least Common Multiple of 5398 and 5402

LCM of 5398 and 5402 is 14579998

Least common multiple can be found by multiplying the highest exponent prime factors of 5398 and 5402. First we will calculate the prime factors of 5398 and 5402.

Prime Factorization of 5398


2 5398
2699 2699
1

Prime factors of 5398 are 2,2699. Prime factorization of 5398 in exponential form is:

5398 = 21×26991

Prime Factorization of 5402


2 5402
37 2701
73 73
1

Prime factors of 5402 are 2, 37,73. Prime factorization of 5402 in exponential form is:

5402 = 21×371×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5398 and 5402.

LCM(5398,5402) = 21×371×731×26991
LCM(5398,5402) = 14579998

Factors of 5398

List of positive integer factors of 5398 that divides 5398 without a remainder.

1, 2, 2699, 5398

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1, 2, 37, 73, 74, 146, 2701, 5402

Least Common Multiple of 5398 and 5402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5398 and 5402, than apply into the LCM equation.

GCF(5398,5402) = 2
LCM(5398,5402) = ( 5398 × 5402) / 2
LCM(5398,5402) = 29159996 / 2
LCM(5398,5402) = 14579998

Properties of LCM 5398 and 5402

(i) The LCM of 5402 and 5398 is associative

LCM of 5398 and 5402 = LCM of 5402 and 5398

Related Least Common Multiples of 5398

Related Least Common Multiples of 5402

Frequently Asked Questions on LCM of 5398 and 5402

1. What is the LCM of 5398 and 5402?

Answer: LCM of 5398 and 5402 is 14579998.

2. What are the Factors of 5398?

Answer: Factors of 5398 are 1, 2, 2699, 5398. There are 4 integers that are factors of 5398. The greatest factor of 5398 is 5398.

3. What are the Factors of 5402?

Answer: Factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402. There are 8 integers that are factors of 5402. The greatest factor of 5402 is 5402.

4. How to Find the LCM of 5398 and 5402?

Answer:

Least Common Multiple of 5398 and 5402 = 14579998

Step 1: Find the prime factorization of 5398

5398 = 2 x 2699

Step 2: Find the prime factorization of 5402

5402 = 2 x 37 x 73

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

LCM = 14579998 = 2 x 37 x 73 x 2699

Step 4: Therefore, the least common multiple of 5398 and 5402 is 14579998.