Least Common Multiple of 493 and 501
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 501 the smallest integer that is 246993 that is divisible by both numbers.
Least Common Multiple (LCM) of 493 and 501 is 246993.
LCM(493,501) = 246993
LCM of 493 and 501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 493 and 501 by Prime method
- Least Common Multiple of 493 and 501 with GCF Formula
LCM of 493 and 501 is 246993
Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 501. First we will calculate the prime factors of 493 and 501.
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 501
| 3 | 501 |
| 167 | 167 |
| 1 |
Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:
501 = 31×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 501.
LCM(493,501) = 31×171×291×1671
LCM(493,501) = 246993
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Least Common Multiple of 493 and 501 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 501, than apply into the LCM equation.
GCF(493,501) = 1
LCM(493,501) = ( 493 × 501) / 1
LCM(493,501) = 246993 / 1
LCM(493,501) = 246993
Properties of LCM 493 and 501
(i) The LCM of 501 and 493 is associative
LCM of 493 and 501 = LCM of 501 and 493
Related Least Common Multiples of 493
Related Least Common Multiples of 501
Frequently Asked Questions on LCM of 493 and 501
1. What is the LCM of 493 and 501?
Answer: LCM of 493 and 501 is 246993.
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 501?
Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.
4. How to Find the LCM of 493 and 501?
Answer:
Least Common Multiple of 493 and 501 = 246993
Step 1: Find the prime factorization of 493
493 = 17 x 29
Step 2: Find the prime factorization of 501
501 = 3 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 246993 = 3 x 17 x 29 x 167
Step 4: Therefore, the least common multiple of 493 and 501 is 246993.