Least Common Multiple of 5471 and 5475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5471 and 5475 the smallest integer that is 29953725 that is divisible by both numbers.

Least Common Multiple (LCM) of 5471 and 5475 is 29953725.

LCM(5471,5475) = 29953725

LCM of 5471 and 5475

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

LCM of:
and

Least Common Multiple of 5471 and 5475

LCM of 5471 and 5475 is 29953725

Least common multiple can be found by multiplying the highest exponent prime factors of 5471 and 5475. First we will calculate the prime factors of 5471 and 5475.

Prime Factorization of 5471


5471 5471
1

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

5471 = 54711

Prime Factorization of 5475


3 5475
5 1825
5 365
73 73
1

Prime factors of 5475 are 3, 5,73. Prime factorization of 5475 in exponential form is:

5475 = 31×52×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5471 and 5475.

LCM(5471,5475) = 31×52×731×54711
LCM(5471,5475) = 29953725

Factors of 5471

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

1, 5471

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

Least Common Multiple of 5471 and 5475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5471 and 5475, than apply into the LCM equation.

GCF(5471,5475) = 1
LCM(5471,5475) = ( 5471 × 5475) / 1
LCM(5471,5475) = 29953725 / 1
LCM(5471,5475) = 29953725

Properties of LCM 5471 and 5475

(i) The LCM of 5475 and 5471 is associative

LCM of 5471 and 5475 = LCM of 5475 and 5471

Related Least Common Multiples of 5471

Related Least Common Multiples of 5475

Frequently Asked Questions on LCM of 5471 and 5475

1. What is the LCM of 5471 and 5475?

Answer: LCM of 5471 and 5475 is 29953725.

2. 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.

3. What are the Factors of 5475?

Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.

4. How to Find the LCM of 5471 and 5475?

Answer:

Least Common Multiple of 5471 and 5475 = 29953725

Step 1: Find the prime factorization of 5471

5471 = 5471

Step 2: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

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

LCM = 29953725 = 3 x 5 x 5 x 73 x 5471

Step 4: Therefore, the least common multiple of 5471 and 5475 is 29953725.