Least Common Multiple of 7171 and 7175
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7171 and 7175 the smallest integer that is 51451925 that is divisible by both numbers.
Least Common Multiple (LCM) of 7171 and 7175 is 51451925.
LCM(7171,7175) = 51451925
LCM of 7171 and 7175
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7171 and 7175 by Prime method
- Least Common Multiple of 7171 and 7175 with GCF Formula
LCM of 7171 and 7175 is 51451925
Least common multiple can be found by multiplying the highest exponent prime factors of 7171 and 7175. First we will calculate the prime factors of 7171 and 7175.
Prime Factorization of 7171
| 71 | 7171 |
| 101 | 101 |
| 1 |
Prime factors of 7171 are 71,101. Prime factorization of 7171 in exponential form is:
7171 = 711×1011
Prime Factorization of 7175
| 5 | 7175 |
| 5 | 1435 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 7175 are 5, 7,41. Prime factorization of 7175 in exponential form is:
7175 = 52×71×411
Now multiplying the highest exponent prime factors to calculate the LCM of 7171 and 7175.
LCM(7171,7175) = 52×71×411×711×1011
LCM(7171,7175) = 51451925
Factors of 7171
List of positive integer factors of 7171 that divides 7171 without a remainder.
1, 71, 101, 7171
Factors of 7175
List of positive integer factors of 7175 that divides 7175 without a remainder.
1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175
Least Common Multiple of 7171 and 7175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7171 and 7175, than apply into the LCM equation.
GCF(7171,7175) = 1
LCM(7171,7175) = ( 7171 × 7175) / 1
LCM(7171,7175) = 51451925 / 1
LCM(7171,7175) = 51451925
Properties of LCM 7171 and 7175
(i) The LCM of 7175 and 7171 is associative
LCM of 7171 and 7175 = LCM of 7175 and 7171
Related Least Common Multiples of 7171
Related Least Common Multiples of 7175
Frequently Asked Questions on LCM of 7171 and 7175
1. What is the LCM of 7171 and 7175?
Answer: LCM of 7171 and 7175 is 51451925.
2. What are the Factors of 7171?
Answer: Factors of 7171 are 1, 71, 101, 7171. There are 4 integers that are factors of 7171. The greatest factor of 7171 is 7171.
3. What are the Factors of 7175?
Answer: Factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175. There are 12 integers that are factors of 7175. The greatest factor of 7175 is 7175.
4. How to Find the LCM of 7171 and 7175?
Answer:
Least Common Multiple of 7171 and 7175 = 51451925
Step 1: Find the prime factorization of 7171
7171 = 71 x 101
Step 2: Find the prime factorization of 7175
7175 = 5 x 5 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51451925 = 5 x 5 x 7 x 41 x 71 x 101
Step 4: Therefore, the least common multiple of 7171 and 7175 is 51451925.