Least Common Multiple of 1710 and 1717
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1710 and 1717 the smallest integer that is 2936070 that is divisible by both numbers.
Least Common Multiple (LCM) of 1710 and 1717 is 2936070.
LCM(1710,1717) = 2936070
LCM of 1710 and 1717
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1710 and 1717 by Prime method
- Least Common Multiple of 1710 and 1717 with GCF Formula
LCM of 1710 and 1717 is 2936070
Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1717. First we will calculate the prime factors of 1710 and 1717.
Prime Factorization of 1710
| 2 | 1710 |
| 3 | 855 |
| 3 | 285 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 1710 are 2, 3, 5,19. Prime factorization of 1710 in exponential form is:
1710 = 21×32×51×191
Prime Factorization of 1717
| 17 | 1717 |
| 101 | 101 |
| 1 |
Prime factors of 1717 are 17,101. Prime factorization of 1717 in exponential form is:
1717 = 171×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 1710 and 1717.
LCM(1710,1717) = 21×32×51×171×191×1011
LCM(1710,1717) = 2936070
Factors of 1710
List of positive integer factors of 1710 that divides 1710 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
Factors of 1717
List of positive integer factors of 1717 that divides 1717 without a remainder.
1, 17, 101, 1717
Least Common Multiple of 1710 and 1717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1710 and 1717, than apply into the LCM equation.
GCF(1710,1717) = 1
LCM(1710,1717) = ( 1710 × 1717) / 1
LCM(1710,1717) = 2936070 / 1
LCM(1710,1717) = 2936070
Properties of LCM 1710 and 1717
(i) The LCM of 1717 and 1710 is associative
LCM of 1710 and 1717 = LCM of 1717 and 1710
Related Least Common Multiples of 1710
Related Least Common Multiples of 1717
Frequently Asked Questions on LCM of 1710 and 1717
1. What is the LCM of 1710 and 1717?
Answer: LCM of 1710 and 1717 is 2936070.
2. What are the Factors of 1710?
Answer: Factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710. There are 24 integers that are factors of 1710. The greatest factor of 1710 is 1710.
3. What are the Factors of 1717?
Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.
4. How to Find the LCM of 1710 and 1717?
Answer:
Least Common Multiple of 1710 and 1717 = 2936070
Step 1: Find the prime factorization of 1710
1710 = 2 x 3 x 3 x 5 x 19
Step 2: Find the prime factorization of 1717
1717 = 17 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2936070 = 2 x 3 x 3 x 5 x 17 x 19 x 101
Step 4: Therefore, the least common multiple of 1710 and 1717 is 2936070.