Least Common Multiple of 939 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 939 and 943 the smallest integer that is 885477 that is divisible by both numbers.
Least Common Multiple (LCM) of 939 and 943 is 885477.
LCM(939,943) = 885477
LCM of 939 and 943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 939 and 943 by Prime method
- Least Common Multiple of 939 and 943 with GCF Formula
LCM of 939 and 943 is 885477
Least common multiple can be found by multiplying the highest exponent prime factors of 939 and 943. First we will calculate the prime factors of 939 and 943.
Prime Factorization of 939
| 3 | 939 |
| 313 | 313 |
| 1 |
Prime factors of 939 are 3,313. Prime factorization of 939 in exponential form is:
939 = 31×3131
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 939 and 943.
LCM(939,943) = 31×231×411×3131
LCM(939,943) = 885477
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Least Common Multiple of 939 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 939 and 943, than apply into the LCM equation.
GCF(939,943) = 1
LCM(939,943) = ( 939 × 943) / 1
LCM(939,943) = 885477 / 1
LCM(939,943) = 885477
Properties of LCM 939 and 943
(i) The LCM of 943 and 939 is associative
LCM of 939 and 943 = LCM of 943 and 939
Related Least Common Multiples of 939
Related Least Common Multiples of 943
Frequently Asked Questions on LCM of 939 and 943
1. What is the LCM of 939 and 943?
Answer: LCM of 939 and 943 is 885477.
2. What are the Factors of 939?
Answer: Factors of 939 are 1, 3, 313, 939. There are 4 integers that are factors of 939. The greatest factor of 939 is 939.
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 939 and 943?
Answer:
Least Common Multiple of 939 and 943 = 885477
Step 1: Find the prime factorization of 939
939 = 3 x 313
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 = 885477 = 3 x 23 x 41 x 313
Step 4: Therefore, the least common multiple of 939 and 943 is 885477.