Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6501 and 6508 the smallest integer that is 42308508 that is divisible by both numbers.
Least Common Multiple (LCM) of 6501 and 6508 is 42308508.
LCM(6501,6508) = 42308508
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6501 and 6508. First we will calculate the prime factors of 6501 and 6508.
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
Prime Factorization of 6508
2 | 6508 |
2 | 3254 |
1627 | 1627 |
1 |
Prime factors of 6508 are 2,1627. Prime factorization of 6508 in exponential form is:
6508 = 22×16271
Now multiplying the highest exponent prime factors to calculate the LCM of 6501 and 6508.
LCM(6501,6508) = 22×31×111×1971×16271
LCM(6501,6508) = 42308508
Factors of 6501
List of positive integer factors of 6501 that divides 6501 without a remainder.
1, 3, 11, 33, 197, 591, 2167, 6501
Factors of 6508
List of positive integer factors of 6508 that divides 6508 without a remainder.
1, 2, 4, 1627, 3254, 6508
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6501 and 6508, than apply into the LCM equation.
GCF(6501,6508) = 1
LCM(6501,6508) = ( 6501 × 6508) / 1
LCM(6501,6508) = 42308508 / 1
LCM(6501,6508) = 42308508
(i) The LCM of 6508 and 6501 is associative
LCM of 6501 and 6508 = LCM of 6508 and 6501
1. What is the LCM of 6501 and 6508?
Answer: LCM of 6501 and 6508 is 42308508.
2. 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.
3. What are the Factors of 6508?
Answer: Factors of 6508 are 1, 2, 4, 1627, 3254, 6508. There are 6 integers that are factors of 6508. The greatest factor of 6508 is 6508.
4. How to Find the LCM of 6501 and 6508?
Answer:
Least Common Multiple of 6501 and 6508 = 42308508
Step 1: Find the prime factorization of 6501
6501 = 3 x 11 x 197
Step 2: Find the prime factorization of 6508
6508 = 2 x 2 x 1627
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42308508 = 2 x 2 x 3 x 11 x 197 x 1627
Step 4: Therefore, the least common multiple of 6501 and 6508 is 42308508.