Least Common Multiple of 5470 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 5470 and 5474 the smallest integer that is 14971390 that is divisible by both numbers.

Least Common Multiple (LCM) of 5470 and 5474 is 14971390.

LCM(5470,5474) = 14971390

LCM of 5470 and 5474

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

LCM of:
and

Least Common Multiple of 5470 and 5474

LCM of 5470 and 5474 is 14971390

Least common multiple can be found by multiplying the highest exponent prime factors of 5470 and 5474. First we will calculate the prime factors of 5470 and 5474.

Prime Factorization of 5470


2 5470
5 2735
547 547
1

Prime factors of 5470 are 2, 5,547. Prime factorization of 5470 in exponential form is:

5470 = 21×51×5471

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 5470 and 5474.

LCM(5470,5474) = 21×51×71×171×231×5471
LCM(5470,5474) = 14971390

Factors of 5470

List of positive integer factors of 5470 that divides 5470 without a remainder.

1, 2, 5, 10, 547, 1094, 2735, 5470

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 5470 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 5470 and 5474, than apply into the LCM equation.

GCF(5470,5474) = 2
LCM(5470,5474) = ( 5470 × 5474) / 2
LCM(5470,5474) = 29942780 / 2
LCM(5470,5474) = 14971390

Properties of LCM 5470 and 5474

(i) The LCM of 5474 and 5470 is associative

LCM of 5470 and 5474 = LCM of 5474 and 5470

Related Least Common Multiples of 5470

Related Least Common Multiples of 5474

Frequently Asked Questions on LCM of 5470 and 5474

1. What is the LCM of 5470 and 5474?

Answer: LCM of 5470 and 5474 is 14971390.

2. What are the Factors of 5470?

Answer: Factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470. There are 8 integers that are factors of 5470. The greatest factor of 5470 is 5470.

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 5470 and 5474?

Answer:

Least Common Multiple of 5470 and 5474 = 14971390

Step 1: Find the prime factorization of 5470

5470 = 2 x 5 x 547

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 = 14971390 = 2 x 5 x 7 x 17 x 23 x 547

Step 4: Therefore, the least common multiple of 5470 and 5474 is 14971390.