Least Common Multiple of 493 and 497
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 493 and 497 the smallest integer that is 245021 that is divisible by both numbers.
Least Common Multiple (LCM) of 493 and 497 is 245021.
LCM(493,497) = 245021
LCM of 493 and 497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 493 and 497 by Prime method
- Least Common Multiple of 493 and 497 with GCF Formula
LCM of 493 and 497 is 245021
Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 497. First we will calculate the prime factors of 493 and 497.
Prime Factorization of 493
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:
493 = 171×291
Prime Factorization of 497
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:
497 = 71×711
Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 497.
LCM(493,497) = 71×171×291×711
LCM(493,497) = 245021
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Least Common Multiple of 493 and 497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 493 and 497, than apply into the LCM equation.
GCF(493,497) = 1
LCM(493,497) = ( 493 × 497) / 1
LCM(493,497) = 245021 / 1
LCM(493,497) = 245021
Properties of LCM 493 and 497
(i) The LCM of 497 and 493 is associative
LCM of 493 and 497 = LCM of 497 and 493
Related Least Common Multiples of 493
Related Least Common Multiples of 497
Frequently Asked Questions on LCM of 493 and 497
1. What is the LCM of 493 and 497?
Answer: LCM of 493 and 497 is 245021.
2. What are the Factors of 493?
Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.
3. What are the Factors of 497?
Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.
4. How to Find the LCM of 493 and 497?
Answer:
Least Common Multiple of 493 and 497 = 245021
Step 1: Find the prime factorization of 493
493 = 17 x 29
Step 2: Find the prime factorization of 497
497 = 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 245021 = 7 x 17 x 29 x 71
Step 4: Therefore, the least common multiple of 493 and 497 is 245021.