Least Common Multiple of 7117 and 7125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7117 and 7125 the smallest integer that is 50708625 that is divisible by both numbers.
Least Common Multiple (LCM) of 7117 and 7125 is 50708625.
LCM(7117,7125) = 50708625
LCM of 7117 and 7125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7117 and 7125 by Prime method
- Least Common Multiple of 7117 and 7125 with GCF Formula
LCM of 7117 and 7125 is 50708625
Least common multiple can be found by multiplying the highest exponent prime factors of 7117 and 7125. First we will calculate the prime factors of 7117 and 7125.
Prime Factorization of 7117
| 11 | 7117 |
| 647 | 647 |
| 1 |
Prime factors of 7117 are 11,647. Prime factorization of 7117 in exponential form is:
7117 = 111×6471
Prime Factorization of 7125
| 3 | 7125 |
| 5 | 2375 |
| 5 | 475 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 7125 are 3, 5,19. Prime factorization of 7125 in exponential form is:
7125 = 31×53×191
Now multiplying the highest exponent prime factors to calculate the LCM of 7117 and 7125.
LCM(7117,7125) = 31×53×111×191×6471
LCM(7117,7125) = 50708625
Factors of 7117
List of positive integer factors of 7117 that divides 7117 without a remainder.
1, 11, 647, 7117
Factors of 7125
List of positive integer factors of 7125 that divides 7125 without a remainder.
1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
Least Common Multiple of 7117 and 7125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7117 and 7125, than apply into the LCM equation.
GCF(7117,7125) = 1
LCM(7117,7125) = ( 7117 × 7125) / 1
LCM(7117,7125) = 50708625 / 1
LCM(7117,7125) = 50708625
Properties of LCM 7117 and 7125
(i) The LCM of 7125 and 7117 is associative
LCM of 7117 and 7125 = LCM of 7125 and 7117
Related Least Common Multiples of 7117
Related Least Common Multiples of 7125
Frequently Asked Questions on LCM of 7117 and 7125
1. What is the LCM of 7117 and 7125?
Answer: LCM of 7117 and 7125 is 50708625.
2. What are the Factors of 7117?
Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.
3. What are the Factors of 7125?
Answer: Factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125. There are 16 integers that are factors of 7125. The greatest factor of 7125 is 7125.
4. How to Find the LCM of 7117 and 7125?
Answer:
Least Common Multiple of 7117 and 7125 = 50708625
Step 1: Find the prime factorization of 7117
7117 = 11 x 647
Step 2: Find the prime factorization of 7125
7125 = 3 x 5 x 5 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50708625 = 3 x 5 x 5 x 5 x 11 x 19 x 647
Step 4: Therefore, the least common multiple of 7117 and 7125 is 50708625.