Least Common Multiple of 5469 and 5474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5469 and 5474 the smallest integer that is 29937306 that is divisible by both numbers.

Least Common Multiple (LCM) of 5469 and 5474 is 29937306.

LCM(5469,5474) = 29937306

LCM of 5469 and 5474

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

LCM of:
and

Least Common Multiple of 5469 and 5474

LCM of 5469 and 5474 is 29937306

Least common multiple can be found by multiplying the highest exponent prime factors of 5469 and 5474. First we will calculate the prime factors of 5469 and 5474.

Prime Factorization of 5469


3 5469
1823 1823
1

Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:

5469 = 31×18231

Prime Factorization of 5474


2 5474
7 2737
17 391
23 23
1

Prime factors of 5474 are 2, 7, 17,23. Prime factorization of 5474 in exponential form is:

5474 = 21×71×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5469 and 5474.

LCM(5469,5474) = 21×31×71×171×231×18231
LCM(5469,5474) = 29937306

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1, 3, 1823, 5469

Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474

Least Common Multiple of 5469 and 5474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5469 and 5474, than apply into the LCM equation.

GCF(5469,5474) = 1
LCM(5469,5474) = ( 5469 × 5474) / 1
LCM(5469,5474) = 29937306 / 1
LCM(5469,5474) = 29937306

Properties of LCM 5469 and 5474

(i) The LCM of 5474 and 5469 is associative

LCM of 5469 and 5474 = LCM of 5474 and 5469

Related Least Common Multiples of 5469

Related Least Common Multiples of 5474

Frequently Asked Questions on LCM of 5469 and 5474

1. What is the LCM of 5469 and 5474?

Answer: LCM of 5469 and 5474 is 29937306.

2. What are the Factors of 5469?

Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.

3. What are the Factors of 5474?

Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.

4. How to Find the LCM of 5469 and 5474?

Answer:

Least Common Multiple of 5469 and 5474 = 29937306

Step 1: Find the prime factorization of 5469

5469 = 3 x 1823

Step 2: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

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

LCM = 29937306 = 2 x 3 x 7 x 17 x 23 x 1823

Step 4: Therefore, the least common multiple of 5469 and 5474 is 29937306.