Least Common Multiple of 711 and 714
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 714 the smallest integer that is 169218 that is divisible by both numbers.
Least Common Multiple (LCM) of 711 and 714 is 169218.
LCM(711,714) = 169218
LCM of 711 and 714
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 711 and 714 by Prime method
- Least Common Multiple of 711 and 714 with GCF Formula
LCM of 711 and 714 is 169218
Least common multiple can be found by multiplying the highest exponent prime factors of 711 and 714. First we will calculate the prime factors of 711 and 714.
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 714
| 2 | 714 |
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:
714 = 21×31×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 711 and 714.
LCM(711,714) = 21×32×71×171×791
LCM(711,714) = 169218
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Least Common Multiple of 711 and 714 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 714, than apply into the LCM equation.
GCF(711,714) = 3
LCM(711,714) = ( 711 × 714) / 3
LCM(711,714) = 507654 / 3
LCM(711,714) = 169218
Properties of LCM 711 and 714
(i) The LCM of 714 and 711 is associative
LCM of 711 and 714 = LCM of 714 and 711
Related Least Common Multiples of 711
Related Least Common Multiples of 714
Frequently Asked Questions on LCM of 711 and 714
1. What is the LCM of 711 and 714?
Answer: LCM of 711 and 714 is 169218.
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 714?
Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.
4. How to Find the LCM of 711 and 714?
Answer:
Least Common Multiple of 711 and 714 = 169218
Step 1: Find the prime factorization of 711
711 = 3 x 3 x 79
Step 2: Find the prime factorization of 714
714 = 2 x 3 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 169218 = 2 x 3 x 3 x 7 x 17 x 79
Step 4: Therefore, the least common multiple of 711 and 714 is 169218.
