Least Common Multiple of 5482 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 5482 and 5486 the smallest integer that is 15037126 that is divisible by both numbers.

Least Common Multiple (LCM) of 5482 and 5486 is 15037126.

LCM(5482,5486) = 15037126

LCM of 5482 and 5486

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

LCM of:
and

Least Common Multiple of 5482 and 5486

LCM of 5482 and 5486 is 15037126

Least common multiple can be found by multiplying the highest exponent prime factors of 5482 and 5486. First we will calculate the prime factors of 5482 and 5486.

Prime Factorization of 5482


2 5482
2741 2741
1

Prime factors of 5482 are 2,2741. Prime factorization of 5482 in exponential form is:

5482 = 21×27411

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 5482 and 5486.

LCM(5482,5486) = 21×131×2111×27411
LCM(5482,5486) = 15037126

Factors of 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1, 2, 2741, 5482

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 5482 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 5482 and 5486, than apply into the LCM equation.

GCF(5482,5486) = 2
LCM(5482,5486) = ( 5482 × 5486) / 2
LCM(5482,5486) = 30074252 / 2
LCM(5482,5486) = 15037126

Properties of LCM 5482 and 5486

(i) The LCM of 5486 and 5482 is associative

LCM of 5482 and 5486 = LCM of 5486 and 5482

Related Least Common Multiples of 5482

Related Least Common Multiples of 5486

Frequently Asked Questions on LCM of 5482 and 5486

1. What is the LCM of 5482 and 5486?

Answer: LCM of 5482 and 5486 is 15037126.

2. What are the Factors of 5482?

Answer: Factors of 5482 are 1, 2, 2741, 5482. There are 4 integers that are factors of 5482. The greatest factor of 5482 is 5482.

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 5482 and 5486?

Answer:

Least Common Multiple of 5482 and 5486 = 15037126

Step 1: Find the prime factorization of 5482

5482 = 2 x 2741

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 = 15037126 = 2 x 13 x 211 x 2741

Step 4: Therefore, the least common multiple of 5482 and 5486 is 15037126.