Least Common Multiple of 923 and 931
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 923 and 931 the smallest integer that is 859313 that is divisible by both numbers.
Least Common Multiple (LCM) of 923 and 931 is 859313.
LCM(923,931) = 859313
LCM of 923 and 931
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 923 and 931 by Prime method
- Least Common Multiple of 923 and 931 with GCF Formula
LCM of 923 and 931 is 859313
Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 931. First we will calculate the prime factors of 923 and 931.
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
Prime Factorization of 931
| 7 | 931 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:
931 = 72×191
Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 931.
LCM(923,931) = 72×131×191×711
LCM(923,931) = 859313
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Least Common Multiple of 923 and 931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 931, than apply into the LCM equation.
GCF(923,931) = 1
LCM(923,931) = ( 923 × 931) / 1
LCM(923,931) = 859313 / 1
LCM(923,931) = 859313
Properties of LCM 923 and 931
(i) The LCM of 931 and 923 is associative
LCM of 923 and 931 = LCM of 931 and 923
Related Least Common Multiples of 923
Related Least Common Multiples of 931
Frequently Asked Questions on LCM of 923 and 931
1. What is the LCM of 923 and 931?
Answer: LCM of 923 and 931 is 859313.
2. 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.
3. What are the Factors of 931?
Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.
4. How to Find the LCM of 923 and 931?
Answer:
Least Common Multiple of 923 and 931 = 859313
Step 1: Find the prime factorization of 923
923 = 13 x 71
Step 2: Find the prime factorization of 931
931 = 7 x 7 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 = 859313 = 7 x 7 x 13 x 19 x 71
Step 4: Therefore, the least common multiple of 923 and 931 is 859313.
