Least Common Multiple of 5482 and 5488

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 5488 the smallest integer that is 15042608 that is divisible by both numbers.

Least Common Multiple (LCM) of 5482 and 5488 is 15042608.

LCM(5482,5488) = 15042608

LCM of 5482 and 5488

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

LCM of:
and

Least Common Multiple of 5482 and 5488

LCM of 5482 and 5488 is 15042608

Least common multiple can be found by multiplying the highest exponent prime factors of 5482 and 5488. First we will calculate the prime factors of 5482 and 5488.

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 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

Now multiplying the highest exponent prime factors to calculate the LCM of 5482 and 5488.

LCM(5482,5488) = 24×73×27411
LCM(5482,5488) = 15042608

Factors of 5482

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

1, 2, 2741, 5482

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488

Least Common Multiple of 5482 and 5488 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 5488, than apply into the LCM equation.

GCF(5482,5488) = 2
LCM(5482,5488) = ( 5482 × 5488) / 2
LCM(5482,5488) = 30085216 / 2
LCM(5482,5488) = 15042608

Properties of LCM 5482 and 5488

(i) The LCM of 5488 and 5482 is associative

LCM of 5482 and 5488 = LCM of 5488 and 5482

Related Least Common Multiples of 5482

Related Least Common Multiples of 5488

Frequently Asked Questions on LCM of 5482 and 5488

1. What is the LCM of 5482 and 5488?

Answer: LCM of 5482 and 5488 is 15042608.

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 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

4. How to Find the LCM of 5482 and 5488?

Answer:

Least Common Multiple of 5482 and 5488 = 15042608

Step 1: Find the prime factorization of 5482

5482 = 2 x 2741

Step 2: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

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

LCM = 15042608 = 2 x 2 x 2 x 2 x 7 x 7 x 7 x 2741

Step 4: Therefore, the least common multiple of 5482 and 5488 is 15042608.