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 6505 the smallest integer that is 42262985 that is divisible by both numbers.
Least Common Multiple (LCM) of 6497 and 6505 is 42262985.
LCM(6497,6505) = 42262985
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 6497 and 6505. First we will calculate the prime factors of 6497 and 6505.
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 6505
5 | 6505 |
1301 | 1301 |
1 |
Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:
6505 = 51×13011
Now multiplying the highest exponent prime factors to calculate the LCM of 6497 and 6505.
LCM(6497,6505) = 51×731×891×13011
LCM(6497,6505) = 42262985
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1, 73, 89, 6497
Factors of 6505
List of positive integer factors of 6505 that divides 6505 without a remainder.
1, 5, 1301, 6505
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6497 and 6505, than apply into the LCM equation.
GCF(6497,6505) = 1
LCM(6497,6505) = ( 6497 × 6505) / 1
LCM(6497,6505) = 42262985 / 1
LCM(6497,6505) = 42262985
(i) The LCM of 6505 and 6497 is associative
LCM of 6497 and 6505 = LCM of 6505 and 6497
1. What is the LCM of 6497 and 6505?
Answer: LCM of 6497 and 6505 is 42262985.
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 6505?
Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.
4. How to Find the LCM of 6497 and 6505?
Answer:
Least Common Multiple of 6497 and 6505 = 42262985
Step 1: Find the prime factorization of 6497
6497 = 73 x 89
Step 2: Find the prime factorization of 6505
6505 = 5 x 1301
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42262985 = 5 x 73 x 89 x 1301
Step 4: Therefore, the least common multiple of 6497 and 6505 is 42262985.