Least Common Multiple of 5408 and 5416

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 5416 the smallest integer that is 3661216 that is divisible by both numbers.

Least Common Multiple (LCM) of 5408 and 5416 is 3661216.

LCM(5408,5416) = 3661216

LCM of 5408 and 5416

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

LCM of:
and

Least Common Multiple of 5408 and 5416

LCM of 5408 and 5416 is 3661216

Least common multiple can be found by multiplying the highest exponent prime factors of 5408 and 5416. First we will calculate the prime factors of 5408 and 5416.

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 5416


2 5416
2 2708
2 1354
677 677
1

Prime factors of 5416 are 2,677. Prime factorization of 5416 in exponential form is:

5416 = 23×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 5408 and 5416.

LCM(5408,5416) = 25×132×6771
LCM(5408,5416) = 3661216

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 5416

List of positive integer factors of 5416 that divides 5416 without a remainder.

1, 2, 4, 8, 677, 1354, 2708, 5416

Least Common Multiple of 5408 and 5416 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 5416, than apply into the LCM equation.

GCF(5408,5416) = 8
LCM(5408,5416) = ( 5408 × 5416) / 8
LCM(5408,5416) = 29289728 / 8
LCM(5408,5416) = 3661216

Properties of LCM 5408 and 5416

(i) The LCM of 5416 and 5408 is associative

LCM of 5408 and 5416 = LCM of 5416 and 5408

Related Least Common Multiples of 5408

Related Least Common Multiples of 5416

Frequently Asked Questions on LCM of 5408 and 5416

1. What is the LCM of 5408 and 5416?

Answer: LCM of 5408 and 5416 is 3661216.

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 5416?

Answer: Factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416. There are 8 integers that are factors of 5416. The greatest factor of 5416 is 5416.

4. How to Find the LCM of 5408 and 5416?

Answer:

Least Common Multiple of 5408 and 5416 = 3661216

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 5416

5416 = 2 x 2 x 2 x 677

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

LCM = 3661216 = 2 x 2 x 2 x 2 x 2 x 13 x 13 x 677

Step 4: Therefore, the least common multiple of 5408 and 5416 is 3661216.