Least Common Multiple of 6486 and 6489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6486 and 6489 the smallest integer that is 14029218 that is divisible by both numbers.

Least Common Multiple (LCM) of 6486 and 6489 is 14029218.

LCM(6486,6489) = 14029218

LCM of 6486 and 6489

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

LCM of:
and

Least Common Multiple of 6486 and 6489

LCM of 6486 and 6489 is 14029218

Least common multiple can be found by multiplying the highest exponent prime factors of 6486 and 6489. First we will calculate the prime factors of 6486 and 6489.

Prime Factorization of 6486


2 6486
3 3243
23 1081
47 47
1

Prime factors of 6486 are 2, 3, 23,47. Prime factorization of 6486 in exponential form is:

6486 = 21×31×231×471

Prime Factorization of 6489


3 6489
3 2163
7 721
103 103
1

Prime factors of 6489 are 3, 7,103. Prime factorization of 6489 in exponential form is:

6489 = 32×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6486 and 6489.

LCM(6486,6489) = 21×32×71×231×471×1031
LCM(6486,6489) = 14029218

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486

Factors of 6489

List of positive integer factors of 6489 that divides 6489 without a remainder.

1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489

Least Common Multiple of 6486 and 6489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6486 and 6489, than apply into the LCM equation.

GCF(6486,6489) = 3
LCM(6486,6489) = ( 6486 × 6489) / 3
LCM(6486,6489) = 42087654 / 3
LCM(6486,6489) = 14029218

Properties of LCM 6486 and 6489

(i) The LCM of 6489 and 6486 is associative

LCM of 6486 and 6489 = LCM of 6489 and 6486

Related Least Common Multiples of 6486

Related Least Common Multiples of 6489

Frequently Asked Questions on LCM of 6486 and 6489

1. What is the LCM of 6486 and 6489?

Answer: LCM of 6486 and 6489 is 14029218.

2. What are the Factors of 6486?

Answer: Factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486. There are 16 integers that are factors of 6486. The greatest factor of 6486 is 6486.

3. What are the Factors of 6489?

Answer: Factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489. There are 12 integers that are factors of 6489. The greatest factor of 6489 is 6489.

4. How to Find the LCM of 6486 and 6489?

Answer:

Least Common Multiple of 6486 and 6489 = 14029218

Step 1: Find the prime factorization of 6486

6486 = 2 x 3 x 23 x 47

Step 2: Find the prime factorization of 6489

6489 = 3 x 3 x 7 x 103

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

LCM = 14029218 = 2 x 3 x 3 x 7 x 23 x 47 x 103

Step 4: Therefore, the least common multiple of 6486 and 6489 is 14029218.