Least Common Multiple of 927 and 934
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 934 the smallest integer that is 865818 that is divisible by both numbers.
Least Common Multiple (LCM) of 927 and 934 is 865818.
LCM(927,934) = 865818
LCM of 927 and 934
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 927 and 934 by Prime method
- Least Common Multiple of 927 and 934 with GCF Formula
LCM of 927 and 934 is 865818
Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 934. First we will calculate the prime factors of 927 and 934.
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 934
| 2 | 934 |
| 467 | 467 |
| 1 |
Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:
934 = 21×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 927 and 934.
LCM(927,934) = 21×32×1031×4671
LCM(927,934) = 865818
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Least Common Multiple of 927 and 934 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 934, than apply into the LCM equation.
GCF(927,934) = 1
LCM(927,934) = ( 927 × 934) / 1
LCM(927,934) = 865818 / 1
LCM(927,934) = 865818
Properties of LCM 927 and 934
(i) The LCM of 934 and 927 is associative
LCM of 927 and 934 = LCM of 934 and 927
Related Least Common Multiples of 927
Related Least Common Multiples of 934
Frequently Asked Questions on LCM of 927 and 934
1. What is the LCM of 927 and 934?
Answer: LCM of 927 and 934 is 865818.
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 934?
Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.
4. How to Find the LCM of 927 and 934?
Answer:
Least Common Multiple of 927 and 934 = 865818
Step 1: Find the prime factorization of 927
927 = 3 x 3 x 103
Step 2: Find the prime factorization of 934
934 = 2 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 865818 = 2 x 3 x 3 x 103 x 467
Step 4: Therefore, the least common multiple of 927 and 934 is 865818.