Least Common Multiple of 917 and 918
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 918 the smallest integer that is 841806 that is divisible by both numbers.
Least Common Multiple (LCM) of 917 and 918 is 841806.
LCM(917,918) = 841806
LCM of 917 and 918
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 917 and 918 by Prime method
- Least Common Multiple of 917 and 918 with GCF Formula
LCM of 917 and 918 is 841806
Least common multiple can be found by multiplying the highest exponent prime factors of 917 and 918. First we will calculate the prime factors of 917 and 918.
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 918
| 2 | 918 |
| 3 | 459 |
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 918 are 2, 3,17. Prime factorization of 918 in exponential form is:
918 = 21×33×171
Now multiplying the highest exponent prime factors to calculate the LCM of 917 and 918.
LCM(917,918) = 21×33×71×171×1311
LCM(917,918) = 841806
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Least Common Multiple of 917 and 918 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 918, than apply into the LCM equation.
GCF(917,918) = 1
LCM(917,918) = ( 917 × 918) / 1
LCM(917,918) = 841806 / 1
LCM(917,918) = 841806
Properties of LCM 917 and 918
(i) The LCM of 918 and 917 is associative
LCM of 917 and 918 = LCM of 918 and 917
Related Least Common Multiples of 917
Related Least Common Multiples of 918
Frequently Asked Questions on LCM of 917 and 918
1. What is the LCM of 917 and 918?
Answer: LCM of 917 and 918 is 841806.
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 918?
Answer: Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. There are 16 integers that are factors of 918. The greatest factor of 918 is 918.
4. How to Find the LCM of 917 and 918?
Answer:
Least Common Multiple of 917 and 918 = 841806
Step 1: Find the prime factorization of 917
917 = 7 x 131
Step 2: Find the prime factorization of 918
918 = 2 x 3 x 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 841806 = 2 x 3 x 3 x 3 x 7 x 17 x 131
Step 4: Therefore, the least common multiple of 917 and 918 is 841806.