Least Common Multiple of 724 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 724 and 731 the smallest integer that is 529244 that is divisible by both numbers.
Least Common Multiple (LCM) of 724 and 731 is 529244.
LCM(724,731) = 529244
LCM of 724 and 731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 724 and 731 by Prime method
- Least Common Multiple of 724 and 731 with GCF Formula
LCM of 724 and 731 is 529244
Least common multiple can be found by multiplying the highest exponent prime factors of 724 and 731. First we will calculate the prime factors of 724 and 731.
Prime Factorization of 724
| 2 | 724 |
| 2 | 362 |
| 181 | 181 |
| 1 |
Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:
724 = 22×1811
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 724 and 731.
LCM(724,731) = 22×171×431×1811
LCM(724,731) = 529244
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Least Common Multiple of 724 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 724 and 731, than apply into the LCM equation.
GCF(724,731) = 1
LCM(724,731) = ( 724 × 731) / 1
LCM(724,731) = 529244 / 1
LCM(724,731) = 529244
Properties of LCM 724 and 731
(i) The LCM of 731 and 724 is associative
LCM of 724 and 731 = LCM of 731 and 724
Related Least Common Multiples of 724
Related Least Common Multiples of 731
Frequently Asked Questions on LCM of 724 and 731
1. What is the LCM of 724 and 731?
Answer: LCM of 724 and 731 is 529244.
2. What are the Factors of 724?
Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.
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 724 and 731?
Answer:
Least Common Multiple of 724 and 731 = 529244
Step 1: Find the prime factorization of 724
724 = 2 x 2 x 181
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 = 529244 = 2 x 2 x 17 x 43 x 181
Step 4: Therefore, the least common multiple of 724 and 731 is 529244.
