Least Common Multiple of 713 and 721
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 721 the smallest integer that is 514073 that is divisible by both numbers.
Least Common Multiple (LCM) of 713 and 721 is 514073.
LCM(713,721) = 514073
LCM of 713 and 721
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 713 and 721 by Prime method
- Least Common Multiple of 713 and 721 with GCF Formula
LCM of 713 and 721 is 514073
Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 721. First we will calculate the prime factors of 713 and 721.
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 721
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:
721 = 71×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 713 and 721.
LCM(713,721) = 71×231×311×1031
LCM(713,721) = 514073
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Least Common Multiple of 713 and 721 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 721, than apply into the LCM equation.
GCF(713,721) = 1
LCM(713,721) = ( 713 × 721) / 1
LCM(713,721) = 514073 / 1
LCM(713,721) = 514073
Properties of LCM 713 and 721
(i) The LCM of 721 and 713 is associative
LCM of 713 and 721 = LCM of 721 and 713
Related Least Common Multiples of 713
Related Least Common Multiples of 721
Frequently Asked Questions on LCM of 713 and 721
1. What is the LCM of 713 and 721?
Answer: LCM of 713 and 721 is 514073.
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 721?
Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.
4. How to Find the LCM of 713 and 721?
Answer:
Least Common Multiple of 713 and 721 = 514073
Step 1: Find the prime factorization of 713
713 = 23 x 31
Step 2: Find the prime factorization of 721
721 = 7 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 514073 = 7 x 23 x 31 x 103
Step 4: Therefore, the least common multiple of 713 and 721 is 514073.
