Least Common Multiple of 927 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 927 and 931 the smallest integer that is 863037 that is divisible by both numbers.
Least Common Multiple (LCM) of 927 and 931 is 863037.
LCM(927,931) = 863037
LCM of 927 and 931
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 927 and 931 by Prime method
- Least Common Multiple of 927 and 931 with GCF Formula
LCM of 927 and 931 is 863037
Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 931. First we will calculate the prime factors of 927 and 931.
Prime Factorization of 927
| 3 | 927 |
| 3 | 309 |
| 103 | 103 |
| 1 |
Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:
927 = 32×1031
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 927 and 931.
LCM(927,931) = 32×72×191×1031
LCM(927,931) = 863037
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
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 927 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 927 and 931, than apply into the LCM equation.
GCF(927,931) = 1
LCM(927,931) = ( 927 × 931) / 1
LCM(927,931) = 863037 / 1
LCM(927,931) = 863037
Properties of LCM 927 and 931
(i) The LCM of 931 and 927 is associative
LCM of 927 and 931 = LCM of 931 and 927
Related Least Common Multiples of 927
Related Least Common Multiples of 931
Frequently Asked Questions on LCM of 927 and 931
1. What is the LCM of 927 and 931?
Answer: LCM of 927 and 931 is 863037.
2. What are the Factors of 927?
Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.
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 927 and 931?
Answer:
Least Common Multiple of 927 and 931 = 863037
Step 1: Find the prime factorization of 927
927 = 3 x 3 x 103
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 = 863037 = 3 x 3 x 7 x 7 x 19 x 103
Step 4: Therefore, the least common multiple of 927 and 931 is 863037.
