Least Common Multiple of 917 and 923
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 923 the smallest integer that is 846391 that is divisible by both numbers.
Least Common Multiple (LCM) of 917 and 923 is 846391.
LCM(917,923) = 846391
LCM of 917 and 923
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 917 and 923 by Prime method
- Least Common Multiple of 917 and 923 with GCF Formula
LCM of 917 and 923 is 846391
Least common multiple can be found by multiplying the highest exponent prime factors of 917 and 923. First we will calculate the prime factors of 917 and 923.
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 923
| 13 | 923 |
| 71 | 71 |
| 1 |
Prime factors of 923 are 13,71. Prime factorization of 923 in exponential form is:
923 = 131×711
Now multiplying the highest exponent prime factors to calculate the LCM of 917 and 923.
LCM(917,923) = 71×131×711×1311
LCM(917,923) = 846391
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Least Common Multiple of 917 and 923 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 923, than apply into the LCM equation.
GCF(917,923) = 1
LCM(917,923) = ( 917 × 923) / 1
LCM(917,923) = 846391 / 1
LCM(917,923) = 846391
Properties of LCM 917 and 923
(i) The LCM of 923 and 917 is associative
LCM of 917 and 923 = LCM of 923 and 917
Related Least Common Multiples of 917
Related Least Common Multiples of 923
Frequently Asked Questions on LCM of 917 and 923
1. What is the LCM of 917 and 923?
Answer: LCM of 917 and 923 is 846391.
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 923?
Answer: Factors of 923 are 1, 13, 71, 923. There are 4 integers that are factors of 923. The greatest factor of 923 is 923.
4. How to Find the LCM of 917 and 923?
Answer:
Least Common Multiple of 917 and 923 = 846391
Step 1: Find the prime factorization of 917
917 = 7 x 131
Step 2: Find the prime factorization of 923
923 = 13 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 846391 = 7 x 13 x 71 x 131
Step 4: Therefore, the least common multiple of 917 and 923 is 846391.
