Least Common Multiple of 725 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 725 and 731 the smallest integer that is 529975 that is divisible by both numbers.
Least Common Multiple (LCM) of 725 and 731 is 529975.
LCM(725,731) = 529975
LCM of 725 and 731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 725 and 731 by Prime method
- Least Common Multiple of 725 and 731 with GCF Formula
LCM of 725 and 731 is 529975
Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 731. First we will calculate the prime factors of 725 and 731.
Prime Factorization of 725
| 5 | 725 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:
725 = 52×291
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 725 and 731.
LCM(725,731) = 52×171×291×431
LCM(725,731) = 529975
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Least Common Multiple of 725 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 725 and 731, than apply into the LCM equation.
GCF(725,731) = 1
LCM(725,731) = ( 725 × 731) / 1
LCM(725,731) = 529975 / 1
LCM(725,731) = 529975
Properties of LCM 725 and 731
(i) The LCM of 731 and 725 is associative
LCM of 725 and 731 = LCM of 731 and 725
Related Least Common Multiples of 725
Related Least Common Multiples of 731
Frequently Asked Questions on LCM of 725 and 731
1. What is the LCM of 725 and 731?
Answer: LCM of 725 and 731 is 529975.
2. What are the Factors of 725?
Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.
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 725 and 731?
Answer:
Least Common Multiple of 725 and 731 = 529975
Step 1: Find the prime factorization of 725
725 = 5 x 5 x 29
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 = 529975 = 5 x 5 x 17 x 29 x 43
Step 4: Therefore, the least common multiple of 725 and 731 is 529975.
