Least Common Multiple of 943 and 951
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 951 the smallest integer that is 896793 that is divisible by both numbers.
Least Common Multiple (LCM) of 943 and 951 is 896793.
LCM(943,951) = 896793
LCM of 943 and 951
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 943 and 951 by Prime method
- Least Common Multiple of 943 and 951 with GCF Formula
LCM of 943 and 951 is 896793
Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 951. First we will calculate the prime factors of 943 and 951.
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 951
| 3 | 951 |
| 317 | 317 |
| 1 |
Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:
951 = 31×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 943 and 951.
LCM(943,951) = 31×231×411×3171
LCM(943,951) = 896793
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Least Common Multiple of 943 and 951 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 951, than apply into the LCM equation.
GCF(943,951) = 1
LCM(943,951) = ( 943 × 951) / 1
LCM(943,951) = 896793 / 1
LCM(943,951) = 896793
Properties of LCM 943 and 951
(i) The LCM of 951 and 943 is associative
LCM of 943 and 951 = LCM of 951 and 943
Related Least Common Multiples of 943
Related Least Common Multiples of 951
Frequently Asked Questions on LCM of 943 and 951
1. What is the LCM of 943 and 951?
Answer: LCM of 943 and 951 is 896793.
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 951?
Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.
4. How to Find the LCM of 943 and 951?
Answer:
Least Common Multiple of 943 and 951 = 896793
Step 1: Find the prime factorization of 943
943 = 23 x 41
Step 2: Find the prime factorization of 951
951 = 3 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 896793 = 3 x 23 x 41 x 317
Step 4: Therefore, the least common multiple of 943 and 951 is 896793.
