Least Common Multiple of 5470 and 5471

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 5471 the smallest integer that is 29926370 that is divisible by both numbers.

Least Common Multiple (LCM) of 5470 and 5471 is 29926370.

LCM(5470,5471) = 29926370

LCM of 5470 and 5471

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

LCM of:
and

Least Common Multiple of 5470 and 5471

LCM of 5470 and 5471 is 29926370

Least common multiple can be found by multiplying the highest exponent prime factors of 5470 and 5471. First we will calculate the prime factors of 5470 and 5471.

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 5471


5471 5471
1

Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:

5471 = 54711

Now multiplying the highest exponent prime factors to calculate the LCM of 5470 and 5471.

LCM(5470,5471) = 21×51×5471×54711
LCM(5470,5471) = 29926370

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 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1, 5471

Least Common Multiple of 5470 and 5471 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 5471, than apply into the LCM equation.

GCF(5470,5471) = 1
LCM(5470,5471) = ( 5470 × 5471) / 1
LCM(5470,5471) = 29926370 / 1
LCM(5470,5471) = 29926370

Properties of LCM 5470 and 5471

(i) The LCM of 5471 and 5470 is associative

LCM of 5470 and 5471 = LCM of 5471 and 5470

Related Least Common Multiples of 5470

Related Least Common Multiples of 5471

Frequently Asked Questions on LCM of 5470 and 5471

1. What is the LCM of 5470 and 5471?

Answer: LCM of 5470 and 5471 is 29926370.

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 5471?

Answer: Factors of 5471 are 1, 5471. There are 2 integers that are factors of 5471. The greatest factor of 5471 is 5471.

4. How to Find the LCM of 5470 and 5471?

Answer:

Least Common Multiple of 5470 and 5471 = 29926370

Step 1: Find the prime factorization of 5470

5470 = 2 x 5 x 547

Step 2: Find the prime factorization of 5471

5471 = 5471

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

LCM = 29926370 = 2 x 5 x 547 x 5471

Step 4: Therefore, the least common multiple of 5470 and 5471 is 29926370.