Least Common Multiple of 6486 and 6493
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 6493 the smallest integer that is 42113598 that is divisible by both numbers.
Least Common Multiple (LCM) of 6486 and 6493 is 42113598.
LCM(6486,6493) = 42113598
LCM of 6486 and 6493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6486 and 6493 by Prime method
- Least Common Multiple of 6486 and 6493 with GCF Formula
LCM of 6486 and 6493 is 42113598
Least common multiple can be found by multiplying the highest exponent prime factors of 6486 and 6493. First we will calculate the prime factors of 6486 and 6493.
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 6493
| 43 | 6493 |
| 151 | 151 |
| 1 |
Prime factors of 6493 are 43,151. Prime factorization of 6493 in exponential form is:
6493 = 431×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 6486 and 6493.
LCM(6486,6493) = 21×31×231×431×471×1511
LCM(6486,6493) = 42113598
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 6493
List of positive integer factors of 6493 that divides 6493 without a remainder.
1, 43, 151, 6493
Least Common Multiple of 6486 and 6493 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 6493, than apply into the LCM equation.
GCF(6486,6493) = 1
LCM(6486,6493) = ( 6486 × 6493) / 1
LCM(6486,6493) = 42113598 / 1
LCM(6486,6493) = 42113598
Properties of LCM 6486 and 6493
(i) The LCM of 6493 and 6486 is associative
LCM of 6486 and 6493 = LCM of 6493 and 6486
Related Least Common Multiples of 6486
Related Least Common Multiples of 6493
Frequently Asked Questions on LCM of 6486 and 6493
1. What is the LCM of 6486 and 6493?
Answer: LCM of 6486 and 6493 is 42113598.
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 6493?
Answer: Factors of 6493 are 1, 43, 151, 6493. There are 4 integers that are factors of 6493. The greatest factor of 6493 is 6493.
4. How to Find the LCM of 6486 and 6493?
Answer:
Least Common Multiple of 6486 and 6493 = 42113598
Step 1: Find the prime factorization of 6486
6486 = 2 x 3 x 23 x 47
Step 2: Find the prime factorization of 6493
6493 = 43 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42113598 = 2 x 3 x 23 x 43 x 47 x 151
Step 4: Therefore, the least common multiple of 6486 and 6493 is 42113598.