Least Common Multiple of 5471 and 5478

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 5478 the smallest integer that is 29970138 that is divisible by both numbers.

Least Common Multiple (LCM) of 5471 and 5478 is 29970138.

LCM(5471,5478) = 29970138

LCM of 5471 and 5478

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

LCM of:
and

Least Common Multiple of 5471 and 5478

LCM of 5471 and 5478 is 29970138

Least common multiple can be found by multiplying the highest exponent prime factors of 5471 and 5478. First we will calculate the prime factors of 5471 and 5478.

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 5478


2 5478
3 2739
11 913
83 83
1

Prime factors of 5478 are 2, 3, 11,83. Prime factorization of 5478 in exponential form is:

5478 = 21×31×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5471 and 5478.

LCM(5471,5478) = 21×31×111×831×54711
LCM(5471,5478) = 29970138

Factors of 5471

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

1, 5471

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478

Least Common Multiple of 5471 and 5478 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 5478, than apply into the LCM equation.

GCF(5471,5478) = 1
LCM(5471,5478) = ( 5471 × 5478) / 1
LCM(5471,5478) = 29970138 / 1
LCM(5471,5478) = 29970138

Properties of LCM 5471 and 5478

(i) The LCM of 5478 and 5471 is associative

LCM of 5471 and 5478 = LCM of 5478 and 5471

Related Least Common Multiples of 5471

Related Least Common Multiples of 5478

Frequently Asked Questions on LCM of 5471 and 5478

1. What is the LCM of 5471 and 5478?

Answer: LCM of 5471 and 5478 is 29970138.

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 5478?

Answer: Factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478. There are 16 integers that are factors of 5478. The greatest factor of 5478 is 5478.

4. How to Find the LCM of 5471 and 5478?

Answer:

Least Common Multiple of 5471 and 5478 = 29970138

Step 1: Find the prime factorization of 5471

5471 = 5471

Step 2: Find the prime factorization of 5478

5478 = 2 x 3 x 11 x 83

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

LCM = 29970138 = 2 x 3 x 11 x 83 x 5471

Step 4: Therefore, the least common multiple of 5471 and 5478 is 29970138.