Least Common Multiple of 703 and 711
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 703 and 711 the smallest integer that is 499833 that is divisible by both numbers.
Least Common Multiple (LCM) of 703 and 711 is 499833.
LCM(703,711) = 499833
LCM of 703 and 711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 703 and 711 by Prime method
- Least Common Multiple of 703 and 711 with GCF Formula
LCM of 703 and 711 is 499833
Least common multiple can be found by multiplying the highest exponent prime factors of 703 and 711. First we will calculate the prime factors of 703 and 711.
Prime Factorization of 703
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:
703 = 191×371
Prime Factorization of 711
| 3 | 711 |
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:
711 = 32×791
Now multiplying the highest exponent prime factors to calculate the LCM of 703 and 711.
LCM(703,711) = 32×191×371×791
LCM(703,711) = 499833
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Least Common Multiple of 703 and 711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 703 and 711, than apply into the LCM equation.
GCF(703,711) = 1
LCM(703,711) = ( 703 × 711) / 1
LCM(703,711) = 499833 / 1
LCM(703,711) = 499833
Properties of LCM 703 and 711
(i) The LCM of 711 and 703 is associative
LCM of 703 and 711 = LCM of 711 and 703
Related Least Common Multiples of 703
Related Least Common Multiples of 711
Frequently Asked Questions on LCM of 703 and 711
1. What is the LCM of 703 and 711?
Answer: LCM of 703 and 711 is 499833.
2. What are the Factors of 703?
Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.
3. What are the Factors of 711?
Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.
4. How to Find the LCM of 703 and 711?
Answer:
Least Common Multiple of 703 and 711 = 499833
Step 1: Find the prime factorization of 703
703 = 19 x 37
Step 2: Find the prime factorization of 711
711 = 3 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 499833 = 3 x 3 x 19 x 37 x 79
Step 4: Therefore, the least common multiple of 703 and 711 is 499833.
