Least Common Multiple of 5958 and 5963
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5958 and 5963 the smallest integer that is 35527554 that is divisible by both numbers.
Least Common Multiple (LCM) of 5958 and 5963 is 35527554.
LCM(5958,5963) = 35527554
LCM of 5958 and 5963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5958 and 5963 by Prime method
- Least Common Multiple of 5958 and 5963 with GCF Formula
LCM of 5958 and 5963 is 35527554
Least common multiple can be found by multiplying the highest exponent prime factors of 5958 and 5963. First we will calculate the prime factors of 5958 and 5963.
Prime Factorization of 5958
| 2 | 5958 |
| 3 | 2979 |
| 3 | 993 |
| 331 | 331 |
| 1 |
Prime factors of 5958 are 2, 3,331. Prime factorization of 5958 in exponential form is:
5958 = 21×32×3311
Prime Factorization of 5963
| 67 | 5963 |
| 89 | 89 |
| 1 |
Prime factors of 5963 are 67,89. Prime factorization of 5963 in exponential form is:
5963 = 671×891
Now multiplying the highest exponent prime factors to calculate the LCM of 5958 and 5963.
LCM(5958,5963) = 21×32×671×891×3311
LCM(5958,5963) = 35527554
Factors of 5958
List of positive integer factors of 5958 that divides 5958 without a remainder.
1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1, 67, 89, 5963
Least Common Multiple of 5958 and 5963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5958 and 5963, than apply into the LCM equation.
GCF(5958,5963) = 1
LCM(5958,5963) = ( 5958 × 5963) / 1
LCM(5958,5963) = 35527554 / 1
LCM(5958,5963) = 35527554
Properties of LCM 5958 and 5963
(i) The LCM of 5963 and 5958 is associative
LCM of 5958 and 5963 = LCM of 5963 and 5958
Related Least Common Multiples of 5958
Related Least Common Multiples of 5963
Frequently Asked Questions on LCM of 5958 and 5963
1. What is the LCM of 5958 and 5963?
Answer: LCM of 5958 and 5963 is 35527554.
2. What are the Factors of 5958?
Answer: Factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. There are 12 integers that are factors of 5958. The greatest factor of 5958 is 5958.
3. What are the Factors of 5963?
Answer: Factors of 5963 are 1, 67, 89, 5963. There are 4 integers that are factors of 5963. The greatest factor of 5963 is 5963.
4. How to Find the LCM of 5958 and 5963?
Answer:
Least Common Multiple of 5958 and 5963 = 35527554
Step 1: Find the prime factorization of 5958
5958 = 2 x 3 x 3 x 331
Step 2: Find the prime factorization of 5963
5963 = 67 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35527554 = 2 x 3 x 3 x 67 x 89 x 331
Step 4: Therefore, the least common multiple of 5958 and 5963 is 35527554.