Least Common Multiple of 2951 and 2958
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2951 and 2958 the smallest integer that is 8729058 that is divisible by both numbers.
Least Common Multiple (LCM) of 2951 and 2958 is 8729058.
LCM(2951,2958) = 8729058
LCM of 2951 and 2958
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2951 and 2958 by Prime method
- Least Common Multiple of 2951 and 2958 with GCF Formula
LCM of 2951 and 2958 is 8729058
Least common multiple can be found by multiplying the highest exponent prime factors of 2951 and 2958. First we will calculate the prime factors of 2951 and 2958.
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
Prime Factorization of 2958
| 2 | 2958 |
| 3 | 1479 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 2958 are 2, 3, 17,29. Prime factorization of 2958 in exponential form is:
2958 = 21×31×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2951 and 2958.
LCM(2951,2958) = 21×31×131×171×291×2271
LCM(2951,2958) = 8729058
Factors of 2951
List of positive integer factors of 2951 that divides 2951 without a remainder.
1, 13, 227, 2951
Factors of 2958
List of positive integer factors of 2958 that divides 2958 without a remainder.
1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958
Least Common Multiple of 2951 and 2958 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2951 and 2958, than apply into the LCM equation.
GCF(2951,2958) = 1
LCM(2951,2958) = ( 2951 × 2958) / 1
LCM(2951,2958) = 8729058 / 1
LCM(2951,2958) = 8729058
Properties of LCM 2951 and 2958
(i) The LCM of 2958 and 2951 is associative
LCM of 2951 and 2958 = LCM of 2958 and 2951
Related Least Common Multiples of 2951
Related Least Common Multiples of 2958
Frequently Asked Questions on LCM of 2951 and 2958
1. What is the LCM of 2951 and 2958?
Answer: LCM of 2951 and 2958 is 8729058.
2. 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.
3. What are the Factors of 2958?
Answer: Factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958. There are 16 integers that are factors of 2958. The greatest factor of 2958 is 2958.
4. How to Find the LCM of 2951 and 2958?
Answer:
Least Common Multiple of 2951 and 2958 = 8729058
Step 1: Find the prime factorization of 2951
2951 = 13 x 227
Step 2: Find the prime factorization of 2958
2958 = 2 x 3 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8729058 = 2 x 3 x 13 x 17 x 29 x 227
Step 4: Therefore, the least common multiple of 2951 and 2958 is 8729058.