Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3959 and 3963 the smallest integer that is 15689517 that is divisible by both numbers.
Least Common Multiple (LCM) of 3959 and 3963 is 15689517.
LCM(3959,3963) = 15689517
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 3959 and 3963. First we will calculate the prime factors of 3959 and 3963.
Prime Factorization of 3959
37 | 3959 |
107 | 107 |
1 |
Prime factors of 3959 are 37,107. Prime factorization of 3959 in exponential form is:
3959 = 371×1071
Prime Factorization of 3963
3 | 3963 |
1321 | 1321 |
1 |
Prime factors of 3963 are 3,1321. Prime factorization of 3963 in exponential form is:
3963 = 31×13211
Now multiplying the highest exponent prime factors to calculate the LCM of 3959 and 3963.
LCM(3959,3963) = 31×371×1071×13211
LCM(3959,3963) = 15689517
Factors of 3959
List of positive integer factors of 3959 that divides 3959 without a remainder.
1, 37, 107, 3959
Factors of 3963
List of positive integer factors of 3963 that divides 3963 without a remainder.
1, 3, 1321, 3963
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3959 and 3963, than apply into the LCM equation.
GCF(3959,3963) = 1
LCM(3959,3963) = ( 3959 × 3963) / 1
LCM(3959,3963) = 15689517 / 1
LCM(3959,3963) = 15689517
(i) The LCM of 3963 and 3959 is associative
LCM of 3959 and 3963 = LCM of 3963 and 3959
1. What is the LCM of 3959 and 3963?
Answer: LCM of 3959 and 3963 is 15689517.
2. What are the Factors of 3959?
Answer: Factors of 3959 are 1, 37, 107, 3959. There are 4 integers that are factors of 3959. The greatest factor of 3959 is 3959.
3. What are the Factors of 3963?
Answer: Factors of 3963 are 1, 3, 1321, 3963. There are 4 integers that are factors of 3963. The greatest factor of 3963 is 3963.
4. How to Find the LCM of 3959 and 3963?
Answer:
Least Common Multiple of 3959 and 3963 = 15689517
Step 1: Find the prime factorization of 3959
3959 = 37 x 107
Step 2: Find the prime factorization of 3963
3963 = 3 x 1321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15689517 = 3 x 37 x 107 x 1321
Step 4: Therefore, the least common multiple of 3959 and 3963 is 15689517.