Least Common Multiple of 5408 and 5414

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 5414 the smallest integer that is 14639456 that is divisible by both numbers.

Least Common Multiple (LCM) of 5408 and 5414 is 14639456.

LCM(5408,5414) = 14639456

LCM of 5408 and 5414

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

LCM of:
and

Least Common Multiple of 5408 and 5414

LCM of 5408 and 5414 is 14639456

Least common multiple can be found by multiplying the highest exponent prime factors of 5408 and 5414. First we will calculate the prime factors of 5408 and 5414.

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 5414


2 5414
2707 2707
1

Prime factors of 5414 are 2,2707. Prime factorization of 5414 in exponential form is:

5414 = 21×27071

Now multiplying the highest exponent prime factors to calculate the LCM of 5408 and 5414.

LCM(5408,5414) = 25×132×27071
LCM(5408,5414) = 14639456

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 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1, 2, 2707, 5414

Least Common Multiple of 5408 and 5414 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 5414, than apply into the LCM equation.

GCF(5408,5414) = 2
LCM(5408,5414) = ( 5408 × 5414) / 2
LCM(5408,5414) = 29278912 / 2
LCM(5408,5414) = 14639456

Properties of LCM 5408 and 5414

(i) The LCM of 5414 and 5408 is associative

LCM of 5408 and 5414 = LCM of 5414 and 5408

Related Least Common Multiples of 5408

Related Least Common Multiples of 5414

Frequently Asked Questions on LCM of 5408 and 5414

1. What is the LCM of 5408 and 5414?

Answer: LCM of 5408 and 5414 is 14639456.

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 5414?

Answer: Factors of 5414 are 1, 2, 2707, 5414. There are 4 integers that are factors of 5414. The greatest factor of 5414 is 5414.

4. How to Find the LCM of 5408 and 5414?

Answer:

Least Common Multiple of 5408 and 5414 = 14639456

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 5414

5414 = 2 x 2707

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

LCM = 14639456 = 2 x 2 x 2 x 2 x 2 x 13 x 13 x 2707

Step 4: Therefore, the least common multiple of 5408 and 5414 is 14639456.