Least Common Multiple of 6494 and 6497
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6494 and 6497 the smallest integer that is 42191518 that is divisible by both numbers.
Least Common Multiple (LCM) of 6494 and 6497 is 42191518.
LCM(6494,6497) = 42191518
LCM of 6494 and 6497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6494 and 6497 by Prime method
- Least Common Multiple of 6494 and 6497 with GCF Formula
LCM of 6494 and 6497 is 42191518
Least common multiple can be found by multiplying the highest exponent prime factors of 6494 and 6497. First we will calculate the prime factors of 6494 and 6497.
Prime Factorization of 6494
| 2 | 6494 |
| 17 | 3247 |
| 191 | 191 |
| 1 |
Prime factors of 6494 are 2, 17,191. Prime factorization of 6494 in exponential form is:
6494 = 21×171×1911
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 6494 and 6497.
LCM(6494,6497) = 21×171×731×891×1911
LCM(6494,6497) = 42191518
Factors of 6494
List of positive integer factors of 6494 that divides 6494 without a remainder.
1, 2, 17, 34, 191, 382, 3247, 6494
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1, 73, 89, 6497
Least Common Multiple of 6494 and 6497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6494 and 6497, than apply into the LCM equation.
GCF(6494,6497) = 1
LCM(6494,6497) = ( 6494 × 6497) / 1
LCM(6494,6497) = 42191518 / 1
LCM(6494,6497) = 42191518
Properties of LCM 6494 and 6497
(i) The LCM of 6497 and 6494 is associative
LCM of 6494 and 6497 = LCM of 6497 and 6494
Related Least Common Multiples of 6494
Related Least Common Multiples of 6497
Frequently Asked Questions on LCM of 6494 and 6497
1. What is the LCM of 6494 and 6497?
Answer: LCM of 6494 and 6497 is 42191518.
2. What are the Factors of 6494?
Answer: Factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494. There are 8 integers that are factors of 6494. The greatest factor of 6494 is 6494.
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 6494 and 6497?
Answer:
Least Common Multiple of 6494 and 6497 = 42191518
Step 1: Find the prime factorization of 6494
6494 = 2 x 17 x 191
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 = 42191518 = 2 x 17 x 73 x 89 x 191
Step 4: Therefore, the least common multiple of 6494 and 6497 is 42191518.
