Least Common Multiple of 6499 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 6499 and 6501 the smallest integer that is 42249999 that is divisible by both numbers.
Least Common Multiple (LCM) of 6499 and 6501 is 42249999.
LCM(6499,6501) = 42249999
LCM of 6499 and 6501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6499 and 6501 by Prime method
- Least Common Multiple of 6499 and 6501 with GCF Formula
LCM of 6499 and 6501 is 42249999
Least common multiple can be found by multiplying the highest exponent prime factors of 6499 and 6501. First we will calculate the prime factors of 6499 and 6501.
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
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 6499 and 6501.
LCM(6499,6501) = 31×111×671×971×1971
LCM(6499,6501) = 42249999
Factors of 6499
List of positive integer factors of 6499 that divides 6499 without a remainder.
1, 67, 97, 6499
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 6499 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 6499 and 6501, than apply into the LCM equation.
GCF(6499,6501) = 1
LCM(6499,6501) = ( 6499 × 6501) / 1
LCM(6499,6501) = 42249999 / 1
LCM(6499,6501) = 42249999
Properties of LCM 6499 and 6501
(i) The LCM of 6501 and 6499 is associative
LCM of 6499 and 6501 = LCM of 6501 and 6499
Related Least Common Multiples of 6499
Related Least Common Multiples of 6501
Frequently Asked Questions on LCM of 6499 and 6501
1. What is the LCM of 6499 and 6501?
Answer: LCM of 6499 and 6501 is 42249999.
2. 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.
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 6499 and 6501?
Answer:
Least Common Multiple of 6499 and 6501 = 42249999
Step 1: Find the prime factorization of 6499
6499 = 67 x 97
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 = 42249999 = 3 x 11 x 67 x 97 x 197
Step 4: Therefore, the least common multiple of 6499 and 6501 is 42249999.