Least Common Multiple of 6497 and 6501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6497 and 6501 the smallest integer that is 42236997 that is divisible by both numbers.
Least Common Multiple (LCM) of 6497 and 6501 is 42236997.
LCM(6497,6501) = 42236997
LCM of 6497 and 6501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6497 and 6501 by Prime method
- Least Common Multiple of 6497 and 6501 with GCF Formula
LCM of 6497 and 6501 is 42236997
Least common multiple can be found by multiplying the highest exponent prime factors of 6497 and 6501. First we will calculate the prime factors of 6497 and 6501.
Prime Factorization of 6497
| 73 | 6497 |
| 89 | 89 |
| 1 |
Prime factors of 6497 are 73,89. Prime factorization of 6497 in exponential form is:
6497 = 731×891
Prime Factorization of 6501
| 3 | 6501 |
| 11 | 2167 |
| 197 | 197 |
| 1 |
Prime factors of 6501 are 3, 11,197. Prime factorization of 6501 in exponential form is:
6501 = 31×111×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 6497 and 6501.
LCM(6497,6501) = 31×111×731×891×1971
LCM(6497,6501) = 42236997
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1, 73, 89, 6497
Factors of 6501
List of positive integer factors of 6501 that divides 6501 without a remainder.
1, 3, 11, 33, 197, 591, 2167, 6501
Least Common Multiple of 6497 and 6501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6497 and 6501, than apply into the LCM equation.
GCF(6497,6501) = 1
LCM(6497,6501) = ( 6497 × 6501) / 1
LCM(6497,6501) = 42236997 / 1
LCM(6497,6501) = 42236997
Properties of LCM 6497 and 6501
(i) The LCM of 6501 and 6497 is associative
LCM of 6497 and 6501 = LCM of 6501 and 6497
Related Least Common Multiples of 6497
Related Least Common Multiples of 6501
Frequently Asked Questions on LCM of 6497 and 6501
1. What is the LCM of 6497 and 6501?
Answer: LCM of 6497 and 6501 is 42236997.
2. What are the Factors of 6497?
Answer: Factors of 6497 are 1, 73, 89, 6497. There are 4 integers that are factors of 6497. The greatest factor of 6497 is 6497.
3. What are the Factors of 6501?
Answer: Factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501. There are 8 integers that are factors of 6501. The greatest factor of 6501 is 6501.
4. How to Find the LCM of 6497 and 6501?
Answer:
Least Common Multiple of 6497 and 6501 = 42236997
Step 1: Find the prime factorization of 6497
6497 = 73 x 89
Step 2: Find the prime factorization of 6501
6501 = 3 x 11 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42236997 = 3 x 11 x 73 x 89 x 197
Step 4: Therefore, the least common multiple of 6497 and 6501 is 42236997.