Least Common Multiple of 2958 and 2963
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2958 and 2963 the smallest integer that is 8764554 that is divisible by both numbers.
Least Common Multiple (LCM) of 2958 and 2963 is 8764554.
LCM(2958,2963) = 8764554
LCM of 2958 and 2963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2958 and 2963 by Prime method
- Least Common Multiple of 2958 and 2963 with GCF Formula
LCM of 2958 and 2963 is 8764554
Least common multiple can be found by multiplying the highest exponent prime factors of 2958 and 2963. First we will calculate the prime factors of 2958 and 2963.
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
Prime Factorization of 2963
| 2963 | 2963 |
| 1 |
Prime factors of 2963 are 2963. Prime factorization of 2963 in exponential form is:
2963 = 29631
Now multiplying the highest exponent prime factors to calculate the LCM of 2958 and 2963.
LCM(2958,2963) = 21×31×171×291×29631
LCM(2958,2963) = 8764554
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
Factors of 2963
List of positive integer factors of 2963 that divides 2963 without a remainder.
1, 2963
Least Common Multiple of 2958 and 2963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2958 and 2963, than apply into the LCM equation.
GCF(2958,2963) = 1
LCM(2958,2963) = ( 2958 × 2963) / 1
LCM(2958,2963) = 8764554 / 1
LCM(2958,2963) = 8764554
Properties of LCM 2958 and 2963
(i) The LCM of 2963 and 2958 is associative
LCM of 2958 and 2963 = LCM of 2963 and 2958
Related Least Common Multiples of 2958
Related Least Common Multiples of 2963
Frequently Asked Questions on LCM of 2958 and 2963
1. What is the LCM of 2958 and 2963?
Answer: LCM of 2958 and 2963 is 8764554.
2. 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.
3. What are the Factors of 2963?
Answer: Factors of 2963 are 1, 2963. There are 2 integers that are factors of 2963. The greatest factor of 2963 is 2963.
4. How to Find the LCM of 2958 and 2963?
Answer:
Least Common Multiple of 2958 and 2963 = 8764554
Step 1: Find the prime factorization of 2958
2958 = 2 x 3 x 17 x 29
Step 2: Find the prime factorization of 2963
2963 = 2963
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8764554 = 2 x 3 x 17 x 29 x 2963
Step 4: Therefore, the least common multiple of 2958 and 2963 is 8764554.