Least Common Multiple of 2170 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 2170 and 2175 the smallest integer that is 943950 that is divisible by both numbers.
Least Common Multiple (LCM) of 2170 and 2175 is 943950.
LCM(2170,2175) = 943950
LCM of 2170 and 2175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2170 and 2175 by Prime method
- Least Common Multiple of 2170 and 2175 with GCF Formula
LCM of 2170 and 2175 is 943950
Least common multiple can be found by multiplying the highest exponent prime factors of 2170 and 2175. First we will calculate the prime factors of 2170 and 2175.
Prime Factorization of 2170
| 2 | 2170 |
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 2170 are 2, 5, 7,31. Prime factorization of 2170 in exponential form is:
2170 = 21×51×71×311
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 2170 and 2175.
LCM(2170,2175) = 21×31×52×71×291×311
LCM(2170,2175) = 943950
Factors of 2170
List of positive integer factors of 2170 that divides 2170 without a remainder.
1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
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 2170 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 2170 and 2175, than apply into the LCM equation.
GCF(2170,2175) = 5
LCM(2170,2175) = ( 2170 × 2175) / 5
LCM(2170,2175) = 4719750 / 5
LCM(2170,2175) = 943950
Properties of LCM 2170 and 2175
(i) The LCM of 2175 and 2170 is associative
LCM of 2170 and 2175 = LCM of 2175 and 2170
Related Least Common Multiples of 2170
Related Least Common Multiples of 2175
Frequently Asked Questions on LCM of 2170 and 2175
1. What is the LCM of 2170 and 2175?
Answer: LCM of 2170 and 2175 is 943950.
2. What are the Factors of 2170?
Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.
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 2170 and 2175?
Answer:
Least Common Multiple of 2170 and 2175 = 943950
Step 1: Find the prime factorization of 2170
2170 = 2 x 5 x 7 x 31
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 = 943950 = 2 x 3 x 5 x 5 x 7 x 29 x 31
Step 4: Therefore, the least common multiple of 2170 and 2175 is 943950.