Least Common Multiple of 5471 and 5479

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 5479 the smallest integer that is 29975609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5471 and 5479 is 29975609.

LCM(5471,5479) = 29975609

LCM of 5471 and 5479

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

LCM of:
and

Least Common Multiple of 5471 and 5479

LCM of 5471 and 5479 is 29975609

Least common multiple can be found by multiplying the highest exponent prime factors of 5471 and 5479. First we will calculate the prime factors of 5471 and 5479.

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 5479


5479 5479
1

Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:

5479 = 54791

Now multiplying the highest exponent prime factors to calculate the LCM of 5471 and 5479.

LCM(5471,5479) = 54711×54791
LCM(5471,5479) = 29975609

Factors of 5471

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

1, 5471

Factors of 5479

List of positive integer factors of 5479 that divides 5479 without a remainder.

1, 5479

Least Common Multiple of 5471 and 5479 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 5479, than apply into the LCM equation.

GCF(5471,5479) = 1
LCM(5471,5479) = ( 5471 × 5479) / 1
LCM(5471,5479) = 29975609 / 1
LCM(5471,5479) = 29975609

Properties of LCM 5471 and 5479

(i) The LCM of 5479 and 5471 is associative

LCM of 5471 and 5479 = LCM of 5479 and 5471

Related Least Common Multiples of 5471

Related Least Common Multiples of 5479

Frequently Asked Questions on LCM of 5471 and 5479

1. What is the LCM of 5471 and 5479?

Answer: LCM of 5471 and 5479 is 29975609.

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 5479?

Answer: Factors of 5479 are 1, 5479. There are 2 integers that are factors of 5479. The greatest factor of 5479 is 5479.

4. How to Find the LCM of 5471 and 5479?

Answer:

Least Common Multiple of 5471 and 5479 = 29975609

Step 1: Find the prime factorization of 5471

5471 = 5471

Step 2: Find the prime factorization of 5479

5479 = 5479

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

LCM = 29975609 = 5471 x 5479

Step 4: Therefore, the least common multiple of 5471 and 5479 is 29975609.