Least Common Multiple of 7175 and 7183
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 7183 the smallest integer that is 51538025 that is divisible by both numbers.
Least Common Multiple (LCM) of 7175 and 7183 is 51538025.
LCM(7175,7183) = 51538025
LCM of 7175 and 7183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7175 and 7183 by Prime method
- Least Common Multiple of 7175 and 7183 with GCF Formula
LCM of 7175 and 7183 is 51538025
Least common multiple can be found by multiplying the highest exponent prime factors of 7175 and 7183. First we will calculate the prime factors of 7175 and 7183.
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 7183
| 11 | 7183 |
| 653 | 653 |
| 1 |
Prime factors of 7183 are 11,653. Prime factorization of 7183 in exponential form is:
7183 = 111×6531
Now multiplying the highest exponent prime factors to calculate the LCM of 7175 and 7183.
LCM(7175,7183) = 52×71×111×411×6531
LCM(7175,7183) = 51538025
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 7183
List of positive integer factors of 7183 that divides 7183 without a remainder.
1, 11, 653, 7183
Least Common Multiple of 7175 and 7183 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 7183, than apply into the LCM equation.
GCF(7175,7183) = 1
LCM(7175,7183) = ( 7175 × 7183) / 1
LCM(7175,7183) = 51538025 / 1
LCM(7175,7183) = 51538025
Properties of LCM 7175 and 7183
(i) The LCM of 7183 and 7175 is associative
LCM of 7175 and 7183 = LCM of 7183 and 7175
Related Least Common Multiples of 7175
Related Least Common Multiples of 7183
Frequently Asked Questions on LCM of 7175 and 7183
1. What is the LCM of 7175 and 7183?
Answer: LCM of 7175 and 7183 is 51538025.
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 7183?
Answer: Factors of 7183 are 1, 11, 653, 7183. There are 4 integers that are factors of 7183. The greatest factor of 7183 is 7183.
4. How to Find the LCM of 7175 and 7183?
Answer:
Least Common Multiple of 7175 and 7183 = 51538025
Step 1: Find the prime factorization of 7175
7175 = 5 x 5 x 7 x 41
Step 2: Find the prime factorization of 7183
7183 = 11 x 653
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51538025 = 5 x 5 x 7 x 11 x 41 x 653
Step 4: Therefore, the least common multiple of 7175 and 7183 is 51538025.