Least Common Multiple of 723 and 731
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 723 and 731 the smallest integer that is 528513 that is divisible by both numbers.
Least Common Multiple (LCM) of 723 and 731 is 528513.
LCM(723,731) = 528513
LCM of 723 and 731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 723 and 731 by Prime method
- Least Common Multiple of 723 and 731 with GCF Formula
LCM of 723 and 731 is 528513
Least common multiple can be found by multiplying the highest exponent prime factors of 723 and 731. First we will calculate the prime factors of 723 and 731.
Prime Factorization of 723
| 3 | 723 |
| 241 | 241 |
| 1 |
Prime factors of 723 are 3,241. Prime factorization of 723 in exponential form is:
723 = 31×2411
Prime Factorization of 731
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:
731 = 171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 723 and 731.
LCM(723,731) = 31×171×431×2411
LCM(723,731) = 528513
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Least Common Multiple of 723 and 731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 723 and 731, than apply into the LCM equation.
GCF(723,731) = 1
LCM(723,731) = ( 723 × 731) / 1
LCM(723,731) = 528513 / 1
LCM(723,731) = 528513
Properties of LCM 723 and 731
(i) The LCM of 731 and 723 is associative
LCM of 723 and 731 = LCM of 731 and 723
Related Least Common Multiples of 723
Related Least Common Multiples of 731
Frequently Asked Questions on LCM of 723 and 731
1. What is the LCM of 723 and 731?
Answer: LCM of 723 and 731 is 528513.
2. What are the Factors of 723?
Answer: Factors of 723 are 1, 3, 241, 723. There are 4 integers that are factors of 723. The greatest factor of 723 is 723.
3. What are the Factors of 731?
Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.
4. How to Find the LCM of 723 and 731?
Answer:
Least Common Multiple of 723 and 731 = 528513
Step 1: Find the prime factorization of 723
723 = 3 x 241
Step 2: Find the prime factorization of 731
731 = 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 528513 = 3 x 17 x 43 x 241
Step 4: Therefore, the least common multiple of 723 and 731 is 528513.
