Least Common Multiple of 3170 and 3173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3170 and 3173 the smallest integer that is 10058410 that is divisible by both numbers.
Least Common Multiple (LCM) of 3170 and 3173 is 10058410.
LCM(3170,3173) = 10058410
LCM of 3170 and 3173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3170 and 3173 by Prime method
- Least Common Multiple of 3170 and 3173 with GCF Formula
LCM of 3170 and 3173 is 10058410
Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3173. First we will calculate the prime factors of 3170 and 3173.
Prime Factorization of 3170
| 2 | 3170 |
| 5 | 1585 |
| 317 | 317 |
| 1 |
Prime factors of 3170 are 2, 5,317. Prime factorization of 3170 in exponential form is:
3170 = 21×51×3171
Prime Factorization of 3173
| 19 | 3173 |
| 167 | 167 |
| 1 |
Prime factors of 3173 are 19,167. Prime factorization of 3173 in exponential form is:
3173 = 191×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 3170 and 3173.
LCM(3170,3173) = 21×51×191×1671×3171
LCM(3170,3173) = 10058410
Factors of 3170
List of positive integer factors of 3170 that divides 3170 without a remainder.
1, 2, 5, 10, 317, 634, 1585, 3170
Factors of 3173
List of positive integer factors of 3173 that divides 3173 without a remainder.
1, 19, 167, 3173
Least Common Multiple of 3170 and 3173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3170 and 3173, than apply into the LCM equation.
GCF(3170,3173) = 1
LCM(3170,3173) = ( 3170 × 3173) / 1
LCM(3170,3173) = 10058410 / 1
LCM(3170,3173) = 10058410
Properties of LCM 3170 and 3173
(i) The LCM of 3173 and 3170 is associative
LCM of 3170 and 3173 = LCM of 3173 and 3170
Related Least Common Multiples of 3170
Related Least Common Multiples of 3173
Frequently Asked Questions on LCM of 3170 and 3173
1. What is the LCM of 3170 and 3173?
Answer: LCM of 3170 and 3173 is 10058410.
2. What are the Factors of 3170?
Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.
3. What are the Factors of 3173?
Answer: Factors of 3173 are 1, 19, 167, 3173. There are 4 integers that are factors of 3173. The greatest factor of 3173 is 3173.
4. How to Find the LCM of 3170 and 3173?
Answer:
Least Common Multiple of 3170 and 3173 = 10058410
Step 1: Find the prime factorization of 3170
3170 = 2 x 5 x 317
Step 2: Find the prime factorization of 3173
3173 = 19 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10058410 = 2 x 5 x 19 x 167 x 317
Step 4: Therefore, the least common multiple of 3170 and 3173 is 10058410.