Least Common Multiple of 1711 and 1715
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1711 and 1715 the smallest integer that is 2934365 that is divisible by both numbers.
Least Common Multiple (LCM) of 1711 and 1715 is 2934365.
LCM(1711,1715) = 2934365
LCM of 1711 and 1715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1711 and 1715 by Prime method
- Least Common Multiple of 1711 and 1715 with GCF Formula
LCM of 1711 and 1715 is 2934365
Least common multiple can be found by multiplying the highest exponent prime factors of 1711 and 1715. First we will calculate the prime factors of 1711 and 1715.
Prime Factorization of 1711
| 29 | 1711 |
| 59 | 59 |
| 1 |
Prime factors of 1711 are 29,59. Prime factorization of 1711 in exponential form is:
1711 = 291×591
Prime Factorization of 1715
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:
1715 = 51×73
Now multiplying the highest exponent prime factors to calculate the LCM of 1711 and 1715.
LCM(1711,1715) = 51×73×291×591
LCM(1711,1715) = 2934365
Factors of 1711
List of positive integer factors of 1711 that divides 1711 without a remainder.
1, 29, 59, 1711
Factors of 1715
List of positive integer factors of 1715 that divides 1715 without a remainder.
1, 5, 7, 35, 49, 245, 343, 1715
Least Common Multiple of 1711 and 1715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1711 and 1715, than apply into the LCM equation.
GCF(1711,1715) = 1
LCM(1711,1715) = ( 1711 × 1715) / 1
LCM(1711,1715) = 2934365 / 1
LCM(1711,1715) = 2934365
Properties of LCM 1711 and 1715
(i) The LCM of 1715 and 1711 is associative
LCM of 1711 and 1715 = LCM of 1715 and 1711
Related Least Common Multiples of 1711
Related Least Common Multiples of 1715
Frequently Asked Questions on LCM of 1711 and 1715
1. What is the LCM of 1711 and 1715?
Answer: LCM of 1711 and 1715 is 2934365.
2. What are the Factors of 1711?
Answer: Factors of 1711 are 1, 29, 59, 1711. There are 4 integers that are factors of 1711. The greatest factor of 1711 is 1711.
3. What are the Factors of 1715?
Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.
4. How to Find the LCM of 1711 and 1715?
Answer:
Least Common Multiple of 1711 and 1715 = 2934365
Step 1: Find the prime factorization of 1711
1711 = 29 x 59
Step 2: Find the prime factorization of 1715
1715 = 5 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2934365 = 5 x 7 x 7 x 7 x 29 x 59
Step 4: Therefore, the least common multiple of 1711 and 1715 is 2934365.