Least Common Multiple of 917 and 925
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 917 and 925 the smallest integer that is 848225 that is divisible by both numbers.
Least Common Multiple (LCM) of 917 and 925 is 848225.
LCM(917,925) = 848225
LCM of 917 and 925
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 917 and 925 by Prime method
- Least Common Multiple of 917 and 925 with GCF Formula
LCM of 917 and 925 is 848225
Least common multiple can be found by multiplying the highest exponent prime factors of 917 and 925. First we will calculate the prime factors of 917 and 925.
Prime Factorization of 917
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:
917 = 71×1311
Prime Factorization of 925
| 5 | 925 |
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 925 are 5,37. Prime factorization of 925 in exponential form is:
925 = 52×371
Now multiplying the highest exponent prime factors to calculate the LCM of 917 and 925.
LCM(917,925) = 52×71×371×1311
LCM(917,925) = 848225
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Least Common Multiple of 917 and 925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 917 and 925, than apply into the LCM equation.
GCF(917,925) = 1
LCM(917,925) = ( 917 × 925) / 1
LCM(917,925) = 848225 / 1
LCM(917,925) = 848225
Properties of LCM 917 and 925
(i) The LCM of 925 and 917 is associative
LCM of 917 and 925 = LCM of 925 and 917
Related Least Common Multiples of 917
Related Least Common Multiples of 925
Frequently Asked Questions on LCM of 917 and 925
1. What is the LCM of 917 and 925?
Answer: LCM of 917 and 925 is 848225.
2. What are the Factors of 917?
Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.
3. What are the Factors of 925?
Answer: Factors of 925 are 1, 5, 25, 37, 185, 925. There are 6 integers that are factors of 925. The greatest factor of 925 is 925.
4. How to Find the LCM of 917 and 925?
Answer:
Least Common Multiple of 917 and 925 = 848225
Step 1: Find the prime factorization of 917
917 = 7 x 131
Step 2: Find the prime factorization of 925
925 = 5 x 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 848225 = 5 x 5 x 7 x 37 x 131
Step 4: Therefore, the least common multiple of 917 and 925 is 848225.