Least Common Multiple of 2958 and 2965
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 2965 the smallest integer that is 8770470 that is divisible by both numbers.
Least Common Multiple (LCM) of 2958 and 2965 is 8770470.
LCM(2958,2965) = 8770470
LCM of 2958 and 2965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2958 and 2965 by Prime method
- Least Common Multiple of 2958 and 2965 with GCF Formula
LCM of 2958 and 2965 is 8770470
Least common multiple can be found by multiplying the highest exponent prime factors of 2958 and 2965. First we will calculate the prime factors of 2958 and 2965.
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 2965
| 5 | 2965 |
| 593 | 593 |
| 1 |
Prime factors of 2965 are 5,593. Prime factorization of 2965 in exponential form is:
2965 = 51×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 2958 and 2965.
LCM(2958,2965) = 21×31×51×171×291×5931
LCM(2958,2965) = 8770470
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 2965
List of positive integer factors of 2965 that divides 2965 without a remainder.
1, 5, 593, 2965
Least Common Multiple of 2958 and 2965 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 2965, than apply into the LCM equation.
GCF(2958,2965) = 1
LCM(2958,2965) = ( 2958 × 2965) / 1
LCM(2958,2965) = 8770470 / 1
LCM(2958,2965) = 8770470
Properties of LCM 2958 and 2965
(i) The LCM of 2965 and 2958 is associative
LCM of 2958 and 2965 = LCM of 2965 and 2958
Related Least Common Multiples of 2958
Related Least Common Multiples of 2965
Frequently Asked Questions on LCM of 2958 and 2965
1. What is the LCM of 2958 and 2965?
Answer: LCM of 2958 and 2965 is 8770470.
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 2965?
Answer: Factors of 2965 are 1, 5, 593, 2965. There are 4 integers that are factors of 2965. The greatest factor of 2965 is 2965.
4. How to Find the LCM of 2958 and 2965?
Answer:
Least Common Multiple of 2958 and 2965 = 8770470
Step 1: Find the prime factorization of 2958
2958 = 2 x 3 x 17 x 29
Step 2: Find the prime factorization of 2965
2965 = 5 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8770470 = 2 x 3 x 5 x 17 x 29 x 593
Step 4: Therefore, the least common multiple of 2958 and 2965 is 8770470.