Least Common Multiple of 935 and 943
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 935 and 943 the smallest integer that is 881705 that is divisible by both numbers.
Least Common Multiple (LCM) of 935 and 943 is 881705.
LCM(935,943) = 881705
LCM of 935 and 943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 935 and 943 by Prime method
- Least Common Multiple of 935 and 943 with GCF Formula
LCM of 935 and 943 is 881705
Least common multiple can be found by multiplying the highest exponent prime factors of 935 and 943. First we will calculate the prime factors of 935 and 943.
Prime Factorization of 935
| 5 | 935 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 935 are 5, 11,17. Prime factorization of 935 in exponential form is:
935 = 51×111×171
Prime Factorization of 943
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:
943 = 231×411
Now multiplying the highest exponent prime factors to calculate the LCM of 935 and 943.
LCM(935,943) = 51×111×171×231×411
LCM(935,943) = 881705
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Least Common Multiple of 935 and 943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 935 and 943, than apply into the LCM equation.
GCF(935,943) = 1
LCM(935,943) = ( 935 × 943) / 1
LCM(935,943) = 881705 / 1
LCM(935,943) = 881705
Properties of LCM 935 and 943
(i) The LCM of 943 and 935 is associative
LCM of 935 and 943 = LCM of 943 and 935
Related Least Common Multiples of 935
Related Least Common Multiples of 943
Frequently Asked Questions on LCM of 935 and 943
1. What is the LCM of 935 and 943?
Answer: LCM of 935 and 943 is 881705.
2. What are the Factors of 935?
Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.
3. What are the Factors of 943?
Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.
4. How to Find the LCM of 935 and 943?
Answer:
Least Common Multiple of 935 and 943 = 881705
Step 1: Find the prime factorization of 935
935 = 5 x 11 x 17
Step 2: Find the prime factorization of 943
943 = 23 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 881705 = 5 x 11 x 17 x 23 x 41
Step 4: Therefore, the least common multiple of 935 and 943 is 881705.