Least Common Multiple of 5474 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 5474 and 5478 the smallest integer that is 14993286 that is divisible by both numbers.

Least Common Multiple (LCM) of 5474 and 5478 is 14993286.

LCM(5474,5478) = 14993286

LCM of 5474 and 5478

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

LCM of:
and

Least Common Multiple of 5474 and 5478

LCM of 5474 and 5478 is 14993286

Least common multiple can be found by multiplying the highest exponent prime factors of 5474 and 5478. First we will calculate the prime factors of 5474 and 5478.

Prime Factorization of 5474


2 5474
7 2737
17 391
23 23
1

Prime factors of 5474 are 2, 7, 17,23. Prime factorization of 5474 in exponential form is:

5474 = 21×71×171×231

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 5474 and 5478.

LCM(5474,5478) = 21×31×71×111×171×231×831
LCM(5474,5478) = 14993286

Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474

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 5474 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 5474 and 5478, than apply into the LCM equation.

GCF(5474,5478) = 2
LCM(5474,5478) = ( 5474 × 5478) / 2
LCM(5474,5478) = 29986572 / 2
LCM(5474,5478) = 14993286

Properties of LCM 5474 and 5478

(i) The LCM of 5478 and 5474 is associative

LCM of 5474 and 5478 = LCM of 5478 and 5474

Related Least Common Multiples of 5474

Related Least Common Multiples of 5478

Frequently Asked Questions on LCM of 5474 and 5478

1. What is the LCM of 5474 and 5478?

Answer: LCM of 5474 and 5478 is 14993286.

2. What are the Factors of 5474?

Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.

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 5474 and 5478?

Answer:

Least Common Multiple of 5474 and 5478 = 14993286

Step 1: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

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 = 14993286 = 2 x 3 x 7 x 11 x 17 x 23 x 83

Step 4: Therefore, the least common multiple of 5474 and 5478 is 14993286.