Least Common Multiple of 5463 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 5463 and 5471 the smallest integer that is 29888073 that is divisible by both numbers.

Least Common Multiple (LCM) of 5463 and 5471 is 29888073.

LCM(5463,5471) = 29888073

LCM of 5463 and 5471

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

LCM of:
and

Least Common Multiple of 5463 and 5471

LCM of 5463 and 5471 is 29888073

Least common multiple can be found by multiplying the highest exponent prime factors of 5463 and 5471. First we will calculate the prime factors of 5463 and 5471.

Prime Factorization of 5463


3 5463
3 1821
607 607
1

Prime factors of 5463 are 3,607. Prime factorization of 5463 in exponential form is:

5463 = 32×6071

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 5463 and 5471.

LCM(5463,5471) = 32×6071×54711
LCM(5463,5471) = 29888073

Factors of 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1, 3, 9, 607, 1821, 5463

Factors of 5471

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

1, 5471

Least Common Multiple of 5463 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 5463 and 5471, than apply into the LCM equation.

GCF(5463,5471) = 1
LCM(5463,5471) = ( 5463 × 5471) / 1
LCM(5463,5471) = 29888073 / 1
LCM(5463,5471) = 29888073

Properties of LCM 5463 and 5471

(i) The LCM of 5471 and 5463 is associative

LCM of 5463 and 5471 = LCM of 5471 and 5463

Related Least Common Multiples of 5463

Related Least Common Multiples of 5471

Frequently Asked Questions on LCM of 5463 and 5471

1. What is the LCM of 5463 and 5471?

Answer: LCM of 5463 and 5471 is 29888073.

2. What are the Factors of 5463?

Answer: Factors of 5463 are 1, 3, 9, 607, 1821, 5463. There are 6 integers that are factors of 5463. The greatest factor of 5463 is 5463.

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 5463 and 5471?

Answer:

Least Common Multiple of 5463 and 5471 = 29888073

Step 1: Find the prime factorization of 5463

5463 = 3 x 3 x 607

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 = 29888073 = 3 x 3 x 607 x 5471

Step 4: Therefore, the least common multiple of 5463 and 5471 is 29888073.