Least Common Multiple of 2171 and 2175
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2171 and 2175 the smallest integer that is 4721925 that is divisible by both numbers.
Least Common Multiple (LCM) of 2171 and 2175 is 4721925.
LCM(2171,2175) = 4721925
LCM of 2171 and 2175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2171 and 2175 by Prime method
- Least Common Multiple of 2171 and 2175 with GCF Formula
LCM of 2171 and 2175 is 4721925
Least common multiple can be found by multiplying the highest exponent prime factors of 2171 and 2175. First we will calculate the prime factors of 2171 and 2175.
Prime Factorization of 2171
| 13 | 2171 |
| 167 | 167 |
| 1 |
Prime factors of 2171 are 13,167. Prime factorization of 2171 in exponential form is:
2171 = 131×1671
Prime Factorization of 2175
| 3 | 2175 |
| 5 | 725 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 2175 are 3, 5,29. Prime factorization of 2175 in exponential form is:
2175 = 31×52×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2171 and 2175.
LCM(2171,2175) = 31×52×131×291×1671
LCM(2171,2175) = 4721925
Factors of 2171
List of positive integer factors of 2171 that divides 2171 without a remainder.
1, 13, 167, 2171
Factors of 2175
List of positive integer factors of 2175 that divides 2175 without a remainder.
1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
Least Common Multiple of 2171 and 2175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2171 and 2175, than apply into the LCM equation.
GCF(2171,2175) = 1
LCM(2171,2175) = ( 2171 × 2175) / 1
LCM(2171,2175) = 4721925 / 1
LCM(2171,2175) = 4721925
Properties of LCM 2171 and 2175
(i) The LCM of 2175 and 2171 is associative
LCM of 2171 and 2175 = LCM of 2175 and 2171
Related Least Common Multiples of 2171
Related Least Common Multiples of 2175
Frequently Asked Questions on LCM of 2171 and 2175
1. What is the LCM of 2171 and 2175?
Answer: LCM of 2171 and 2175 is 4721925.
2. What are the Factors of 2171?
Answer: Factors of 2171 are 1, 13, 167, 2171. There are 4 integers that are factors of 2171. The greatest factor of 2171 is 2171.
3. What are the Factors of 2175?
Answer: Factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175. There are 12 integers that are factors of 2175. The greatest factor of 2175 is 2175.
4. How to Find the LCM of 2171 and 2175?
Answer:
Least Common Multiple of 2171 and 2175 = 4721925
Step 1: Find the prime factorization of 2171
2171 = 13 x 167
Step 2: Find the prime factorization of 2175
2175 = 3 x 5 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4721925 = 3 x 5 x 5 x 13 x 29 x 167
Step 4: Therefore, the least common multiple of 2171 and 2175 is 4721925.