Least Common Multiple of 7175 and 7181
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7175 and 7181 the smallest integer that is 51523675 that is divisible by both numbers.
Least Common Multiple (LCM) of 7175 and 7181 is 51523675.
LCM(7175,7181) = 51523675
LCM of 7175 and 7181
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7175 and 7181 by Prime method
- Least Common Multiple of 7175 and 7181 with GCF Formula
LCM of 7175 and 7181 is 51523675
Least common multiple can be found by multiplying the highest exponent prime factors of 7175 and 7181. First we will calculate the prime factors of 7175 and 7181.
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
Prime Factorization of 7181
| 43 | 7181 |
| 167 | 167 |
| 1 |
Prime factors of 7181 are 43,167. Prime factorization of 7181 in exponential form is:
7181 = 431×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 7175 and 7181.
LCM(7175,7181) = 52×71×411×431×1671
LCM(7175,7181) = 51523675
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
Factors of 7181
List of positive integer factors of 7181 that divides 7181 without a remainder.
1, 43, 167, 7181
Least Common Multiple of 7175 and 7181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7175 and 7181, than apply into the LCM equation.
GCF(7175,7181) = 1
LCM(7175,7181) = ( 7175 × 7181) / 1
LCM(7175,7181) = 51523675 / 1
LCM(7175,7181) = 51523675
Properties of LCM 7175 and 7181
(i) The LCM of 7181 and 7175 is associative
LCM of 7175 and 7181 = LCM of 7181 and 7175
Related Least Common Multiples of 7175
Related Least Common Multiples of 7181
Frequently Asked Questions on LCM of 7175 and 7181
1. What is the LCM of 7175 and 7181?
Answer: LCM of 7175 and 7181 is 51523675.
2. 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.
3. What are the Factors of 7181?
Answer: Factors of 7181 are 1, 43, 167, 7181. There are 4 integers that are factors of 7181. The greatest factor of 7181 is 7181.
4. How to Find the LCM of 7175 and 7181?
Answer:
Least Common Multiple of 7175 and 7181 = 51523675
Step 1: Find the prime factorization of 7175
7175 = 5 x 5 x 7 x 41
Step 2: Find the prime factorization of 7181
7181 = 43 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 = 51523675 = 5 x 5 x 7 x 41 x 43 x 167
Step 4: Therefore, the least common multiple of 7175 and 7181 is 51523675.