Least Common Multiple of 2943 and 2951
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2943 and 2951 the smallest integer that is 8684793 that is divisible by both numbers.
Least Common Multiple (LCM) of 2943 and 2951 is 8684793.
LCM(2943,2951) = 8684793
LCM of 2943 and 2951
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2943 and 2951 by Prime method
- Least Common Multiple of 2943 and 2951 with GCF Formula
LCM of 2943 and 2951 is 8684793
Least common multiple can be found by multiplying the highest exponent prime factors of 2943 and 2951. First we will calculate the prime factors of 2943 and 2951.
Prime Factorization of 2943
| 3 | 2943 |
| 3 | 981 |
| 3 | 327 |
| 109 | 109 |
| 1 |
Prime factors of 2943 are 3,109. Prime factorization of 2943 in exponential form is:
2943 = 33×1091
Prime Factorization of 2951
| 13 | 2951 |
| 227 | 227 |
| 1 |
Prime factors of 2951 are 13,227. Prime factorization of 2951 in exponential form is:
2951 = 131×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 2943 and 2951.
LCM(2943,2951) = 33×131×1091×2271
LCM(2943,2951) = 8684793
Factors of 2943
List of positive integer factors of 2943 that divides 2943 without a remainder.
1, 3, 9, 27, 109, 327, 981, 2943
Factors of 2951
List of positive integer factors of 2951 that divides 2951 without a remainder.
1, 13, 227, 2951
Least Common Multiple of 2943 and 2951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2943 and 2951, than apply into the LCM equation.
GCF(2943,2951) = 1
LCM(2943,2951) = ( 2943 × 2951) / 1
LCM(2943,2951) = 8684793 / 1
LCM(2943,2951) = 8684793
Properties of LCM 2943 and 2951
(i) The LCM of 2951 and 2943 is associative
LCM of 2943 and 2951 = LCM of 2951 and 2943
Related Least Common Multiples of 2943
Related Least Common Multiples of 2951
Frequently Asked Questions on LCM of 2943 and 2951
1. What is the LCM of 2943 and 2951?
Answer: LCM of 2943 and 2951 is 8684793.
2. What are the Factors of 2943?
Answer: Factors of 2943 are 1, 3, 9, 27, 109, 327, 981, 2943. There are 8 integers that are factors of 2943. The greatest factor of 2943 is 2943.
3. What are the Factors of 2951?
Answer: Factors of 2951 are 1, 13, 227, 2951. There are 4 integers that are factors of 2951. The greatest factor of 2951 is 2951.
4. How to Find the LCM of 2943 and 2951?
Answer:
Least Common Multiple of 2943 and 2951 = 8684793
Step 1: Find the prime factorization of 2943
2943 = 3 x 3 x 3 x 109
Step 2: Find the prime factorization of 2951
2951 = 13 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8684793 = 3 x 3 x 3 x 13 x 109 x 227
Step 4: Therefore, the least common multiple of 2943 and 2951 is 8684793.