Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3962 and 3965 the smallest integer that is 15709330 that is divisible by both numbers.
Least Common Multiple (LCM) of 3962 and 3965 is 15709330.
LCM(3962,3965) = 15709330
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 3962 and 3965. First we will calculate the prime factors of 3962 and 3965.
Prime Factorization of 3962
2 | 3962 |
7 | 1981 |
283 | 283 |
1 |
Prime factors of 3962 are 2, 7,283. Prime factorization of 3962 in exponential form is:
3962 = 21×71×2831
Prime Factorization of 3965
5 | 3965 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 3965 are 5, 13,61. Prime factorization of 3965 in exponential form is:
3965 = 51×131×611
Now multiplying the highest exponent prime factors to calculate the LCM of 3962 and 3965.
LCM(3962,3965) = 21×51×71×131×611×2831
LCM(3962,3965) = 15709330
Factors of 3962
List of positive integer factors of 3962 that divides 3962 without a remainder.
1, 2, 7, 14, 283, 566, 1981, 3962
Factors of 3965
List of positive integer factors of 3965 that divides 3965 without a remainder.
1, 5, 13, 61, 65, 305, 793, 3965
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3962 and 3965, than apply into the LCM equation.
GCF(3962,3965) = 1
LCM(3962,3965) = ( 3962 × 3965) / 1
LCM(3962,3965) = 15709330 / 1
LCM(3962,3965) = 15709330
(i) The LCM of 3965 and 3962 is associative
LCM of 3962 and 3965 = LCM of 3965 and 3962
1. What is the LCM of 3962 and 3965?
Answer: LCM of 3962 and 3965 is 15709330.
2. What are the Factors of 3962?
Answer: Factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962. There are 8 integers that are factors of 3962. The greatest factor of 3962 is 3962.
3. What are the Factors of 3965?
Answer: Factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965. There are 8 integers that are factors of 3965. The greatest factor of 3965 is 3965.
4. How to Find the LCM of 3962 and 3965?
Answer:
Least Common Multiple of 3962 and 3965 = 15709330
Step 1: Find the prime factorization of 3962
3962 = 2 x 7 x 283
Step 2: Find the prime factorization of 3965
3965 = 5 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15709330 = 2 x 5 x 7 x 13 x 61 x 283
Step 4: Therefore, the least common multiple of 3962 and 3965 is 15709330.