Least Common Multiple of 5482 and 5487

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 5487 the smallest integer that is 30079734 that is divisible by both numbers.

Least Common Multiple (LCM) of 5482 and 5487 is 30079734.

LCM(5482,5487) = 30079734

LCM of 5482 and 5487

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

LCM of:
and

Least Common Multiple of 5482 and 5487

LCM of 5482 and 5487 is 30079734

Least common multiple can be found by multiplying the highest exponent prime factors of 5482 and 5487. First we will calculate the prime factors of 5482 and 5487.

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 5487


3 5487
31 1829
59 59
1

Prime factors of 5487 are 3, 31,59. Prime factorization of 5487 in exponential form is:

5487 = 31×311×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5482 and 5487.

LCM(5482,5487) = 21×31×311×591×27411
LCM(5482,5487) = 30079734

Factors of 5482

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

1, 2, 2741, 5482

Factors of 5487

List of positive integer factors of 5487 that divides 5487 without a remainder.

1, 3, 31, 59, 93, 177, 1829, 5487

Least Common Multiple of 5482 and 5487 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 5487, than apply into the LCM equation.

GCF(5482,5487) = 1
LCM(5482,5487) = ( 5482 × 5487) / 1
LCM(5482,5487) = 30079734 / 1
LCM(5482,5487) = 30079734

Properties of LCM 5482 and 5487

(i) The LCM of 5487 and 5482 is associative

LCM of 5482 and 5487 = LCM of 5487 and 5482

Related Least Common Multiples of 5482

Related Least Common Multiples of 5487

Frequently Asked Questions on LCM of 5482 and 5487

1. What is the LCM of 5482 and 5487?

Answer: LCM of 5482 and 5487 is 30079734.

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 5487?

Answer: Factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487. There are 8 integers that are factors of 5487. The greatest factor of 5487 is 5487.

4. How to Find the LCM of 5482 and 5487?

Answer:

Least Common Multiple of 5482 and 5487 = 30079734

Step 1: Find the prime factorization of 5482

5482 = 2 x 2741

Step 2: Find the prime factorization of 5487

5487 = 3 x 31 x 59

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

LCM = 30079734 = 2 x 3 x 31 x 59 x 2741

Step 4: Therefore, the least common multiple of 5482 and 5487 is 30079734.