Least Common Multiple of 6499 and 6503
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 6503 the smallest integer that is 42262997 that is divisible by both numbers.
Least Common Multiple (LCM) of 6499 and 6503 is 42262997.
LCM(6499,6503) = 42262997
LCM of 6499 and 6503
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6499 and 6503 by Prime method
- Least Common Multiple of 6499 and 6503 with GCF Formula
LCM of 6499 and 6503 is 42262997
Least common multiple can be found by multiplying the highest exponent prime factors of 6499 and 6503. First we will calculate the prime factors of 6499 and 6503.
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 6503
| 7 | 6503 |
| 929 | 929 |
| 1 |
Prime factors of 6503 are 7,929. Prime factorization of 6503 in exponential form is:
6503 = 71×9291
Now multiplying the highest exponent prime factors to calculate the LCM of 6499 and 6503.
LCM(6499,6503) = 71×671×971×9291
LCM(6499,6503) = 42262997
Factors of 6499
List of positive integer factors of 6499 that divides 6499 without a remainder.
1, 67, 97, 6499
Factors of 6503
List of positive integer factors of 6503 that divides 6503 without a remainder.
1, 7, 929, 6503
Least Common Multiple of 6499 and 6503 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 6503, than apply into the LCM equation.
GCF(6499,6503) = 1
LCM(6499,6503) = ( 6499 × 6503) / 1
LCM(6499,6503) = 42262997 / 1
LCM(6499,6503) = 42262997
Properties of LCM 6499 and 6503
(i) The LCM of 6503 and 6499 is associative
LCM of 6499 and 6503 = LCM of 6503 and 6499
Related Least Common Multiples of 6499
Related Least Common Multiples of 6503
Frequently Asked Questions on LCM of 6499 and 6503
1. What is the LCM of 6499 and 6503?
Answer: LCM of 6499 and 6503 is 42262997.
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 6503?
Answer: Factors of 6503 are 1, 7, 929, 6503. There are 4 integers that are factors of 6503. The greatest factor of 6503 is 6503.
4. How to Find the LCM of 6499 and 6503?
Answer:
Least Common Multiple of 6499 and 6503 = 42262997
Step 1: Find the prime factorization of 6499
6499 = 67 x 97
Step 2: Find the prime factorization of 6503
6503 = 7 x 929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42262997 = 7 x 67 x 97 x 929
Step 4: Therefore, the least common multiple of 6499 and 6503 is 42262997.