Least Common Multiple of 5478 and 5486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5478 and 5486 the smallest integer that is 15026154 that is divisible by both numbers.

Least Common Multiple (LCM) of 5478 and 5486 is 15026154.

LCM(5478,5486) = 15026154

LCM of 5478 and 5486

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

LCM of:
and

Least Common Multiple of 5478 and 5486

LCM of 5478 and 5486 is 15026154

Least common multiple can be found by multiplying the highest exponent prime factors of 5478 and 5486. First we will calculate the prime factors of 5478 and 5486.

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

Prime Factorization of 5486


2 5486
13 2743
211 211
1

Prime factors of 5486 are 2, 13,211. Prime factorization of 5486 in exponential form is:

5486 = 21×131×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5478 and 5486.

LCM(5478,5486) = 21×31×111×131×831×2111
LCM(5478,5486) = 15026154

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

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1, 2, 13, 26, 211, 422, 2743, 5486

Least Common Multiple of 5478 and 5486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5478 and 5486, than apply into the LCM equation.

GCF(5478,5486) = 2
LCM(5478,5486) = ( 5478 × 5486) / 2
LCM(5478,5486) = 30052308 / 2
LCM(5478,5486) = 15026154

Properties of LCM 5478 and 5486

(i) The LCM of 5486 and 5478 is associative

LCM of 5478 and 5486 = LCM of 5486 and 5478

Related Least Common Multiples of 5478

Related Least Common Multiples of 5486

Frequently Asked Questions on LCM of 5478 and 5486

1. What is the LCM of 5478 and 5486?

Answer: LCM of 5478 and 5486 is 15026154.

2. 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.

3. What are the Factors of 5486?

Answer: Factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486. There are 8 integers that are factors of 5486. The greatest factor of 5486 is 5486.

4. How to Find the LCM of 5478 and 5486?

Answer:

Least Common Multiple of 5478 and 5486 = 15026154

Step 1: Find the prime factorization of 5478

5478 = 2 x 3 x 11 x 83

Step 2: Find the prime factorization of 5486

5486 = 2 x 13 x 211

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

LCM = 15026154 = 2 x 3 x 11 x 13 x 83 x 211

Step 4: Therefore, the least common multiple of 5478 and 5486 is 15026154.