Least Common Multiple of 943 and 949
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 943 and 949 the smallest integer that is 894907 that is divisible by both numbers.
Least Common Multiple (LCM) of 943 and 949 is 894907.
LCM(943,949) = 894907
LCM of 943 and 949
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 943 and 949 by Prime method
- Least Common Multiple of 943 and 949 with GCF Formula
LCM of 943 and 949 is 894907
Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 949. First we will calculate the prime factors of 943 and 949.
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
Prime Factorization of 949
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:
949 = 131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 943 and 949.
LCM(943,949) = 131×231×411×731
LCM(943,949) = 894907
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Least Common Multiple of 943 and 949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 943 and 949, than apply into the LCM equation.
GCF(943,949) = 1
LCM(943,949) = ( 943 × 949) / 1
LCM(943,949) = 894907 / 1
LCM(943,949) = 894907
Properties of LCM 943 and 949
(i) The LCM of 949 and 943 is associative
LCM of 943 and 949 = LCM of 949 and 943
Related Least Common Multiples of 943
Related Least Common Multiples of 949
Frequently Asked Questions on LCM of 943 and 949
1. What is the LCM of 943 and 949?
Answer: LCM of 943 and 949 is 894907.
2. 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.
3. What are the Factors of 949?
Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.
4. How to Find the LCM of 943 and 949?
Answer:
Least Common Multiple of 943 and 949 = 894907
Step 1: Find the prime factorization of 943
943 = 23 x 41
Step 2: Find the prime factorization of 949
949 = 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 894907 = 13 x 23 x 41 x 73
Step 4: Therefore, the least common multiple of 943 and 949 is 894907.