Least Common Multiple of 5474 and 5482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5474 and 5482 the smallest integer that is 15004234 that is divisible by both numbers.

Least Common Multiple (LCM) of 5474 and 5482 is 15004234.

LCM(5474,5482) = 15004234

LCM of 5474 and 5482

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

LCM of:
and

Least Common Multiple of 5474 and 5482

LCM of 5474 and 5482 is 15004234

Least common multiple can be found by multiplying the highest exponent prime factors of 5474 and 5482. First we will calculate the prime factors of 5474 and 5482.

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

Prime Factorization of 5482


2 5482
2741 2741
1

Prime factors of 5482 are 2,2741. Prime factorization of 5482 in exponential form is:

5482 = 21×27411

Now multiplying the highest exponent prime factors to calculate the LCM of 5474 and 5482.

LCM(5474,5482) = 21×71×171×231×27411
LCM(5474,5482) = 15004234

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

Factors of 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1, 2, 2741, 5482

Least Common Multiple of 5474 and 5482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5474 and 5482, than apply into the LCM equation.

GCF(5474,5482) = 2
LCM(5474,5482) = ( 5474 × 5482) / 2
LCM(5474,5482) = 30008468 / 2
LCM(5474,5482) = 15004234

Properties of LCM 5474 and 5482

(i) The LCM of 5482 and 5474 is associative

LCM of 5474 and 5482 = LCM of 5482 and 5474

Related Least Common Multiples of 5474

Related Least Common Multiples of 5482

Frequently Asked Questions on LCM of 5474 and 5482

1. What is the LCM of 5474 and 5482?

Answer: LCM of 5474 and 5482 is 15004234.

2. 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.

3. What are the Factors of 5482?

Answer: Factors of 5482 are 1, 2, 2741, 5482. There are 4 integers that are factors of 5482. The greatest factor of 5482 is 5482.

4. How to Find the LCM of 5474 and 5482?

Answer:

Least Common Multiple of 5474 and 5482 = 15004234

Step 1: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

Step 2: Find the prime factorization of 5482

5482 = 2 x 2741

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

LCM = 15004234 = 2 x 7 x 17 x 23 x 2741

Step 4: Therefore, the least common multiple of 5474 and 5482 is 15004234.