Least Common Multiple of 2167 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 2167 and 2175 the smallest integer that is 4713225 that is divisible by both numbers.
Least Common Multiple (LCM) of 2167 and 2175 is 4713225.
LCM(2167,2175) = 4713225
LCM of 2167 and 2175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2167 and 2175 by Prime method
- Least Common Multiple of 2167 and 2175 with GCF Formula
LCM of 2167 and 2175 is 4713225
Least common multiple can be found by multiplying the highest exponent prime factors of 2167 and 2175. First we will calculate the prime factors of 2167 and 2175.
Prime Factorization of 2167
| 11 | 2167 |
| 197 | 197 |
| 1 |
Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:
2167 = 111×1971
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 2167 and 2175.
LCM(2167,2175) = 31×52×111×291×1971
LCM(2167,2175) = 4713225
Factors of 2167
List of positive integer factors of 2167 that divides 2167 without a remainder.
1, 11, 197, 2167
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 2167 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 2167 and 2175, than apply into the LCM equation.
GCF(2167,2175) = 1
LCM(2167,2175) = ( 2167 × 2175) / 1
LCM(2167,2175) = 4713225 / 1
LCM(2167,2175) = 4713225
Properties of LCM 2167 and 2175
(i) The LCM of 2175 and 2167 is associative
LCM of 2167 and 2175 = LCM of 2175 and 2167
Related Least Common Multiples of 2167
Related Least Common Multiples of 2175
Frequently Asked Questions on LCM of 2167 and 2175
1. What is the LCM of 2167 and 2175?
Answer: LCM of 2167 and 2175 is 4713225.
2. What are the Factors of 2167?
Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.
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 2167 and 2175?
Answer:
Least Common Multiple of 2167 and 2175 = 4713225
Step 1: Find the prime factorization of 2167
2167 = 11 x 197
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 = 4713225 = 3 x 5 x 5 x 11 x 29 x 197
Step 4: Therefore, the least common multiple of 2167 and 2175 is 4713225.
