Least Common Multiple of 713 and 717
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 713 and 717 the smallest integer that is 511221 that is divisible by both numbers.
Least Common Multiple (LCM) of 713 and 717 is 511221.
LCM(713,717) = 511221
LCM of 713 and 717
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 713 and 717 by Prime method
- Least Common Multiple of 713 and 717 with GCF Formula
LCM of 713 and 717 is 511221
Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 717. First we will calculate the prime factors of 713 and 717.
Prime Factorization of 713
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:
713 = 231×311
Prime Factorization of 717
| 3 | 717 |
| 239 | 239 |
| 1 |
Prime factors of 717 are 3,239. Prime factorization of 717 in exponential form is:
717 = 31×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 713 and 717.
LCM(713,717) = 31×231×311×2391
LCM(713,717) = 511221
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Least Common Multiple of 713 and 717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 713 and 717, than apply into the LCM equation.
GCF(713,717) = 1
LCM(713,717) = ( 713 × 717) / 1
LCM(713,717) = 511221 / 1
LCM(713,717) = 511221
Properties of LCM 713 and 717
(i) The LCM of 717 and 713 is associative
LCM of 713 and 717 = LCM of 717 and 713
Related Least Common Multiples of 713
Related Least Common Multiples of 717
Frequently Asked Questions on LCM of 713 and 717
1. What is the LCM of 713 and 717?
Answer: LCM of 713 and 717 is 511221.
2. What are the Factors of 713?
Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.
3. What are the Factors of 717?
Answer: Factors of 717 are 1, 3, 239, 717. There are 4 integers that are factors of 717. The greatest factor of 717 is 717.
4. How to Find the LCM of 713 and 717?
Answer:
Least Common Multiple of 713 and 717 = 511221
Step 1: Find the prime factorization of 713
713 = 23 x 31
Step 2: Find the prime factorization of 717
717 = 3 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 511221 = 3 x 23 x 31 x 239
Step 4: Therefore, the least common multiple of 713 and 717 is 511221.