Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6959 and 6963 the smallest integer that is 48455517 that is divisible by both numbers.
Least Common Multiple (LCM) of 6959 and 6963 is 48455517.
LCM(6959,6963) = 48455517
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6959 and 6963. First we will calculate the prime factors of 6959 and 6963.
Prime Factorization of 6959
6959 | 6959 |
1 |
Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:
6959 = 69591
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 6959 and 6963.
LCM(6959,6963) = 31×111×2111×69591
LCM(6959,6963) = 48455517
Factors of 6959
List of positive integer factors of 6959 that divides 6959 without a remainder.
1, 6959
Factors of 6963
List of positive integer factors of 6963 that divides 6963 without a remainder.
1, 3, 11, 33, 211, 633, 2321, 6963
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6959 and 6963, than apply into the LCM equation.
GCF(6959,6963) = 1
LCM(6959,6963) = ( 6959 × 6963) / 1
LCM(6959,6963) = 48455517 / 1
LCM(6959,6963) = 48455517
(i) The LCM of 6963 and 6959 is associative
LCM of 6959 and 6963 = LCM of 6963 and 6959
1. What is the LCM of 6959 and 6963?
Answer: LCM of 6959 and 6963 is 48455517.
2. What are the Factors of 6959?
Answer: Factors of 6959 are 1, 6959. There are 2 integers that are factors of 6959. The greatest factor of 6959 is 6959.
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 6959 and 6963?
Answer:
Least Common Multiple of 6959 and 6963 = 48455517
Step 1: Find the prime factorization of 6959
6959 = 6959
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 = 48455517 = 3 x 11 x 211 x 6959
Step 4: Therefore, the least common multiple of 6959 and 6963 is 48455517.