Least Common Multiple of 943 and 946
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 946 the smallest integer that is 892078 that is divisible by both numbers.
Least Common Multiple (LCM) of 943 and 946 is 892078.
LCM(943,946) = 892078
LCM of 943 and 946
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 943 and 946 by Prime method
- Least Common Multiple of 943 and 946 with GCF Formula
LCM of 943 and 946 is 892078
Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 946. First we will calculate the prime factors of 943 and 946.
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 946
| 2 | 946 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:
946 = 21×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 943 and 946.
LCM(943,946) = 21×111×231×411×431
LCM(943,946) = 892078
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Least Common Multiple of 943 and 946 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 946, than apply into the LCM equation.
GCF(943,946) = 1
LCM(943,946) = ( 943 × 946) / 1
LCM(943,946) = 892078 / 1
LCM(943,946) = 892078
Properties of LCM 943 and 946
(i) The LCM of 946 and 943 is associative
LCM of 943 and 946 = LCM of 946 and 943
Related Least Common Multiples of 943
Related Least Common Multiples of 946
Frequently Asked Questions on LCM of 943 and 946
1. What is the LCM of 943 and 946?
Answer: LCM of 943 and 946 is 892078.
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 946?
Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.
4. How to Find the LCM of 943 and 946?
Answer:
Least Common Multiple of 943 and 946 = 892078
Step 1: Find the prime factorization of 943
943 = 23 x 41
Step 2: Find the prime factorization of 946
946 = 2 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 892078 = 2 x 11 x 23 x 41 x 43
Step 4: Therefore, the least common multiple of 943 and 946 is 892078.