Least Common Multiple of 493 and 494
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 494 the smallest integer that is 243542 that is divisible by both numbers.
Least Common Multiple (LCM) of 493 and 494 is 243542.
LCM(493,494) = 243542
LCM of 493 and 494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 493 and 494 by Prime method
- Least Common Multiple of 493 and 494 with GCF Formula
LCM of 493 and 494 is 243542
Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 494. First we will calculate the prime factors of 493 and 494.
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 494
| 2 | 494 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 494 are 2, 13,19. Prime factorization of 494 in exponential form is:
494 = 21×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 494.
LCM(493,494) = 21×131×171×191×291
LCM(493,494) = 243542
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Least Common Multiple of 493 and 494 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 494, than apply into the LCM equation.
GCF(493,494) = 1
LCM(493,494) = ( 493 × 494) / 1
LCM(493,494) = 243542 / 1
LCM(493,494) = 243542
Properties of LCM 493 and 494
(i) The LCM of 494 and 493 is associative
LCM of 493 and 494 = LCM of 494 and 493
Related Least Common Multiples of 493
Related Least Common Multiples of 494
Frequently Asked Questions on LCM of 493 and 494
1. What is the LCM of 493 and 494?
Answer: LCM of 493 and 494 is 243542.
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 494?
Answer: Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. There are 8 integers that are factors of 494. The greatest factor of 494 is 494.
4. How to Find the LCM of 493 and 494?
Answer:
Least Common Multiple of 493 and 494 = 243542
Step 1: Find the prime factorization of 493
493 = 17 x 29
Step 2: Find the prime factorization of 494
494 = 2 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 243542 = 2 x 13 x 17 x 19 x 29
Step 4: Therefore, the least common multiple of 493 and 494 is 243542.