Least Common Multiple of 5468 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 5468 and 5474 the smallest integer that is 14965916 that is divisible by both numbers.

Least Common Multiple (LCM) of 5468 and 5474 is 14965916.

LCM(5468,5474) = 14965916

LCM of 5468 and 5474

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

LCM of:
and

Least Common Multiple of 5468 and 5474

LCM of 5468 and 5474 is 14965916

Least common multiple can be found by multiplying the highest exponent prime factors of 5468 and 5474. First we will calculate the prime factors of 5468 and 5474.

Prime Factorization of 5468


2 5468
2 2734
1367 1367
1

Prime factors of 5468 are 2,1367. Prime factorization of 5468 in exponential form is:

5468 = 22×13671

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 5468 and 5474.

LCM(5468,5474) = 22×71×171×231×13671
LCM(5468,5474) = 14965916

Factors of 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1, 2, 4, 1367, 2734, 5468

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 5468 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 5468 and 5474, than apply into the LCM equation.

GCF(5468,5474) = 2
LCM(5468,5474) = ( 5468 × 5474) / 2
LCM(5468,5474) = 29931832 / 2
LCM(5468,5474) = 14965916

Properties of LCM 5468 and 5474

(i) The LCM of 5474 and 5468 is associative

LCM of 5468 and 5474 = LCM of 5474 and 5468

Related Least Common Multiples of 5468

Related Least Common Multiples of 5474

Frequently Asked Questions on LCM of 5468 and 5474

1. What is the LCM of 5468 and 5474?

Answer: LCM of 5468 and 5474 is 14965916.

2. What are the Factors of 5468?

Answer: Factors of 5468 are 1, 2, 4, 1367, 2734, 5468. There are 6 integers that are factors of 5468. The greatest factor of 5468 is 5468.

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 5468 and 5474?

Answer:

Least Common Multiple of 5468 and 5474 = 14965916

Step 1: Find the prime factorization of 5468

5468 = 2 x 2 x 1367

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 = 14965916 = 2 x 2 x 7 x 17 x 23 x 1367

Step 4: Therefore, the least common multiple of 5468 and 5474 is 14965916.