Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6491 and 6497 the smallest integer that is 42172027 that is divisible by both numbers.
Least Common Multiple (LCM) of 6491 and 6497 is 42172027.
LCM(6491,6497) = 42172027
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 6491 and 6497. First we will calculate the prime factors of 6491 and 6497.
Prime Factorization of 6491
6491 | 6491 |
1 |
Prime factors of 6491 are 6491. Prime factorization of 6491 in exponential form is:
6491 = 64911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6491 and 6497.
LCM(6491,6497) = 731×891×64911
LCM(6491,6497) = 42172027
Factors of 6491
List of positive integer factors of 6491 that divides 6491 without a remainder.
1, 6491
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1, 73, 89, 6497
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6491 and 6497, than apply into the LCM equation.
GCF(6491,6497) = 1
LCM(6491,6497) = ( 6491 × 6497) / 1
LCM(6491,6497) = 42172027 / 1
LCM(6491,6497) = 42172027
(i) The LCM of 6497 and 6491 is associative
LCM of 6491 and 6497 = LCM of 6497 and 6491
1. What is the LCM of 6491 and 6497?
Answer: LCM of 6491 and 6497 is 42172027.
2. What are the Factors of 6491?
Answer: Factors of 6491 are 1, 6491. There are 2 integers that are factors of 6491. The greatest factor of 6491 is 6491.
3. 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.
4. How to Find the LCM of 6491 and 6497?
Answer:
Least Common Multiple of 6491 and 6497 = 42172027
Step 1: Find the prime factorization of 6491
6491 = 6491
Step 2: Find the prime factorization of 6497
6497 = 73 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42172027 = 73 x 89 x 6491
Step 4: Therefore, the least common multiple of 6491 and 6497 is 42172027.