Least Common Multiple of 711 and 718
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 711 and 718 the smallest integer that is 510498 that is divisible by both numbers.
Least Common Multiple (LCM) of 711 and 718 is 510498.
LCM(711,718) = 510498
LCM of 711 and 718
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 711 and 718 by Prime method
- Least Common Multiple of 711 and 718 with GCF Formula
LCM of 711 and 718 is 510498
Least common multiple can be found by multiplying the highest exponent prime factors of 711 and 718. First we will calculate the prime factors of 711 and 718.
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
Prime Factorization of 718
| 2 | 718 |
| 359 | 359 |
| 1 |
Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:
718 = 21×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 711 and 718.
LCM(711,718) = 21×32×791×3591
LCM(711,718) = 510498
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Least Common Multiple of 711 and 718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 711 and 718, than apply into the LCM equation.
GCF(711,718) = 1
LCM(711,718) = ( 711 × 718) / 1
LCM(711,718) = 510498 / 1
LCM(711,718) = 510498
Properties of LCM 711 and 718
(i) The LCM of 718 and 711 is associative
LCM of 711 and 718 = LCM of 718 and 711
Related Least Common Multiples of 711
Related Least Common Multiples of 718
Frequently Asked Questions on LCM of 711 and 718
1. What is the LCM of 711 and 718?
Answer: LCM of 711 and 718 is 510498.
2. 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.
3. What are the Factors of 718?
Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.
4. How to Find the LCM of 711 and 718?
Answer:
Least Common Multiple of 711 and 718 = 510498
Step 1: Find the prime factorization of 711
711 = 3 x 3 x 79
Step 2: Find the prime factorization of 718
718 = 2 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 510498 = 2 x 3 x 3 x 79 x 359
Step 4: Therefore, the least common multiple of 711 and 718 is 510498.
