Least Common Multiple of 6958 and 6963
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6958 and 6963 the smallest integer that is 48448554 that is divisible by both numbers.
Least Common Multiple (LCM) of 6958 and 6963 is 48448554.
LCM(6958,6963) = 48448554
LCM of 6958 and 6963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6958 and 6963 by Prime method
- Least Common Multiple of 6958 and 6963 with GCF Formula
LCM of 6958 and 6963 is 48448554
Least common multiple can be found by multiplying the highest exponent prime factors of 6958 and 6963. First we will calculate the prime factors of 6958 and 6963.
Prime Factorization of 6958
| 2 | 6958 |
| 7 | 3479 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 6958 are 2, 7,71. Prime factorization of 6958 in exponential form is:
6958 = 21×72×711
Prime Factorization of 6963
| 3 | 6963 |
| 11 | 2321 |
| 211 | 211 |
| 1 |
Prime factors of 6963 are 3, 11,211. Prime factorization of 6963 in exponential form is:
6963 = 31×111×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 6958 and 6963.
LCM(6958,6963) = 21×31×72×111×711×2111
LCM(6958,6963) = 48448554
Factors of 6958
List of positive integer factors of 6958 that divides 6958 without a remainder.
1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958
Factors of 6963
List of positive integer factors of 6963 that divides 6963 without a remainder.
1, 3, 11, 33, 211, 633, 2321, 6963
Least Common Multiple of 6958 and 6963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6958 and 6963, than apply into the LCM equation.
GCF(6958,6963) = 1
LCM(6958,6963) = ( 6958 × 6963) / 1
LCM(6958,6963) = 48448554 / 1
LCM(6958,6963) = 48448554
Properties of LCM 6958 and 6963
(i) The LCM of 6963 and 6958 is associative
LCM of 6958 and 6963 = LCM of 6963 and 6958
Related Least Common Multiples of 6958
Related Least Common Multiples of 6963
Frequently Asked Questions on LCM of 6958 and 6963
1. What is the LCM of 6958 and 6963?
Answer: LCM of 6958 and 6963 is 48448554.
2. What are the Factors of 6958?
Answer: Factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958. There are 12 integers that are factors of 6958. The greatest factor of 6958 is 6958.
3. What are the Factors of 6963?
Answer: Factors of 6963 are 1, 3, 11, 33, 211, 633, 2321, 6963. There are 8 integers that are factors of 6963. The greatest factor of 6963 is 6963.
4. How to Find the LCM of 6958 and 6963?
Answer:
Least Common Multiple of 6958 and 6963 = 48448554
Step 1: Find the prime factorization of 6958
6958 = 2 x 7 x 7 x 71
Step 2: Find the prime factorization of 6963
6963 = 3 x 11 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48448554 = 2 x 3 x 7 x 7 x 11 x 71 x 211
Step 4: Therefore, the least common multiple of 6958 and 6963 is 48448554.