Least Common Multiple of 5408 and 5413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5408 and 5413 the smallest integer that is 29273504 that is divisible by both numbers.

Least Common Multiple (LCM) of 5408 and 5413 is 29273504.

LCM(5408,5413) = 29273504

LCM of 5408 and 5413

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

LCM of:
and

Least Common Multiple of 5408 and 5413

LCM of 5408 and 5413 is 29273504

Least common multiple can be found by multiplying the highest exponent prime factors of 5408 and 5413. First we will calculate the prime factors of 5408 and 5413.

Prime Factorization of 5408


2 5408
2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 5408 are 2,13. Prime factorization of 5408 in exponential form is:

5408 = 25×132

Prime Factorization of 5413


5413 5413
1

Prime factors of 5413 are 5413. Prime factorization of 5413 in exponential form is:

5413 = 54131

Now multiplying the highest exponent prime factors to calculate the LCM of 5408 and 5413.

LCM(5408,5413) = 25×132×54131
LCM(5408,5413) = 29273504

Factors of 5408

List of positive integer factors of 5408 that divides 5408 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408

Factors of 5413

List of positive integer factors of 5413 that divides 5413 without a remainder.

1, 5413

Least Common Multiple of 5408 and 5413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5408 and 5413, than apply into the LCM equation.

GCF(5408,5413) = 1
LCM(5408,5413) = ( 5408 × 5413) / 1
LCM(5408,5413) = 29273504 / 1
LCM(5408,5413) = 29273504

Properties of LCM 5408 and 5413

(i) The LCM of 5413 and 5408 is associative

LCM of 5408 and 5413 = LCM of 5413 and 5408

Related Least Common Multiples of 5408

Related Least Common Multiples of 5413

Frequently Asked Questions on LCM of 5408 and 5413

1. What is the LCM of 5408 and 5413?

Answer: LCM of 5408 and 5413 is 29273504.

2. What are the Factors of 5408?

Answer: Factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408. There are 18 integers that are factors of 5408. The greatest factor of 5408 is 5408.

3. What are the Factors of 5413?

Answer: Factors of 5413 are 1, 5413. There are 2 integers that are factors of 5413. The greatest factor of 5413 is 5413.

4. How to Find the LCM of 5408 and 5413?

Answer:

Least Common Multiple of 5408 and 5413 = 29273504

Step 1: Find the prime factorization of 5408

5408 = 2 x 2 x 2 x 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 5413

5413 = 5413

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

LCM = 29273504 = 2 x 2 x 2 x 2 x 2 x 13 x 13 x 5413

Step 4: Therefore, the least common multiple of 5408 and 5413 is 29273504.