Least Common Multiple of 6494 and 6499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6494 and 6499 the smallest integer that is 42204506 that is divisible by both numbers.
Least Common Multiple (LCM) of 6494 and 6499 is 42204506.
LCM(6494,6499) = 42204506
LCM of 6494 and 6499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6494 and 6499 by Prime method
- Least Common Multiple of 6494 and 6499 with GCF Formula
LCM of 6494 and 6499 is 42204506
Least common multiple can be found by multiplying the highest exponent prime factors of 6494 and 6499. First we will calculate the prime factors of 6494 and 6499.
Prime Factorization of 6494
| 2 | 6494 |
| 17 | 3247 |
| 191 | 191 |
| 1 |
Prime factors of 6494 are 2, 17,191. Prime factorization of 6494 in exponential form is:
6494 = 21×171×1911
Prime Factorization of 6499
| 67 | 6499 |
| 97 | 97 |
| 1 |
Prime factors of 6499 are 67,97. Prime factorization of 6499 in exponential form is:
6499 = 671×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6494 and 6499.
LCM(6494,6499) = 21×171×671×971×1911
LCM(6494,6499) = 42204506
Factors of 6494
List of positive integer factors of 6494 that divides 6494 without a remainder.
1, 2, 17, 34, 191, 382, 3247, 6494
Factors of 6499
List of positive integer factors of 6499 that divides 6499 without a remainder.
1, 67, 97, 6499
Least Common Multiple of 6494 and 6499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6494 and 6499, than apply into the LCM equation.
GCF(6494,6499) = 1
LCM(6494,6499) = ( 6494 × 6499) / 1
LCM(6494,6499) = 42204506 / 1
LCM(6494,6499) = 42204506
Properties of LCM 6494 and 6499
(i) The LCM of 6499 and 6494 is associative
LCM of 6494 and 6499 = LCM of 6499 and 6494
Related Least Common Multiples of 6494
Related Least Common Multiples of 6499
Frequently Asked Questions on LCM of 6494 and 6499
1. What is the LCM of 6494 and 6499?
Answer: LCM of 6494 and 6499 is 42204506.
2. What are the Factors of 6494?
Answer: Factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494. There are 8 integers that are factors of 6494. The greatest factor of 6494 is 6494.
3. What are the Factors of 6499?
Answer: Factors of 6499 are 1, 67, 97, 6499. There are 4 integers that are factors of 6499. The greatest factor of 6499 is 6499.
4. How to Find the LCM of 6494 and 6499?
Answer:
Least Common Multiple of 6494 and 6499 = 42204506
Step 1: Find the prime factorization of 6494
6494 = 2 x 17 x 191
Step 2: Find the prime factorization of 6499
6499 = 67 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42204506 = 2 x 17 x 67 x 97 x 191
Step 4: Therefore, the least common multiple of 6494 and 6499 is 42204506.
