Least Common Multiple of 5486 and 5493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5486 and 5493 the smallest integer that is 30134598 that is divisible by both numbers.

Least Common Multiple (LCM) of 5486 and 5493 is 30134598.

LCM(5486,5493) = 30134598

LCM of 5486 and 5493

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

LCM of:
and

Least Common Multiple of 5486 and 5493

LCM of 5486 and 5493 is 30134598

Least common multiple can be found by multiplying the highest exponent prime factors of 5486 and 5493. First we will calculate the prime factors of 5486 and 5493.

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

Prime Factorization of 5493


3 5493
1831 1831
1

Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:

5493 = 31×18311

Now multiplying the highest exponent prime factors to calculate the LCM of 5486 and 5493.

LCM(5486,5493) = 21×31×131×2111×18311
LCM(5486,5493) = 30134598

Factors of 5486

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

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

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1, 3, 1831, 5493

Least Common Multiple of 5486 and 5493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5486 and 5493, than apply into the LCM equation.

GCF(5486,5493) = 1
LCM(5486,5493) = ( 5486 × 5493) / 1
LCM(5486,5493) = 30134598 / 1
LCM(5486,5493) = 30134598

Properties of LCM 5486 and 5493

(i) The LCM of 5493 and 5486 is associative

LCM of 5486 and 5493 = LCM of 5493 and 5486

Related Least Common Multiples of 5486

Related Least Common Multiples of 5493

Frequently Asked Questions on LCM of 5486 and 5493

1. What is the LCM of 5486 and 5493?

Answer: LCM of 5486 and 5493 is 30134598.

2. 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.

3. What are the Factors of 5493?

Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.

4. How to Find the LCM of 5486 and 5493?

Answer:

Least Common Multiple of 5486 and 5493 = 30134598

Step 1: Find the prime factorization of 5486

5486 = 2 x 13 x 211

Step 2: Find the prime factorization of 5493

5493 = 3 x 1831

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

LCM = 30134598 = 2 x 3 x 13 x 211 x 1831

Step 4: Therefore, the least common multiple of 5486 and 5493 is 30134598.