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 3966 the smallest integer that is 15701394 that is divisible by both numbers.
Least Common Multiple (LCM) of 3959 and 3966 is 15701394.
LCM(3959,3966) = 15701394
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 3966. First we will calculate the prime factors of 3959 and 3966.
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 3966
2 | 3966 |
3 | 1983 |
661 | 661 |
1 |
Prime factors of 3966 are 2, 3,661. Prime factorization of 3966 in exponential form is:
3966 = 21×31×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 3959 and 3966.
LCM(3959,3966) = 21×31×371×1071×6611
LCM(3959,3966) = 15701394
Factors of 3959
List of positive integer factors of 3959 that divides 3959 without a remainder.
1, 37, 107, 3959
Factors of 3966
List of positive integer factors of 3966 that divides 3966 without a remainder.
1, 2, 3, 6, 661, 1322, 1983, 3966
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3959 and 3966, than apply into the LCM equation.
GCF(3959,3966) = 1
LCM(3959,3966) = ( 3959 × 3966) / 1
LCM(3959,3966) = 15701394 / 1
LCM(3959,3966) = 15701394
(i) The LCM of 3966 and 3959 is associative
LCM of 3959 and 3966 = LCM of 3966 and 3959
1. What is the LCM of 3959 and 3966?
Answer: LCM of 3959 and 3966 is 15701394.
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 3966?
Answer: Factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966. There are 8 integers that are factors of 3966. The greatest factor of 3966 is 3966.
4. How to Find the LCM of 3959 and 3966?
Answer:
Least Common Multiple of 3959 and 3966 = 15701394
Step 1: Find the prime factorization of 3959
3959 = 37 x 107
Step 2: Find the prime factorization of 3966
3966 = 2 x 3 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15701394 = 2 x 3 x 37 x 107 x 661
Step 4: Therefore, the least common multiple of 3959 and 3966 is 15701394.