Least Common Multiple of 3977 and 3981
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3977 and 3981 the smallest integer that is 15832437 that is divisible by both numbers.
Least Common Multiple (LCM) of 3977 and 3981 is 15832437.
LCM(3977,3981) = 15832437
LCM of 3977 and 3981
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3977 and 3981 by Prime method
- Least Common Multiple of 3977 and 3981 with GCF Formula
LCM of 3977 and 3981 is 15832437
Least common multiple can be found by multiplying the highest exponent prime factors of 3977 and 3981. First we will calculate the prime factors of 3977 and 3981.
Prime Factorization of 3977
| 41 | 3977 |
| 97 | 97 |
| 1 |
Prime factors of 3977 are 41,97. Prime factorization of 3977 in exponential form is:
3977 = 411×971
Prime Factorization of 3981
| 3 | 3981 |
| 1327 | 1327 |
| 1 |
Prime factors of 3981 are 3,1327. Prime factorization of 3981 in exponential form is:
3981 = 31×13271
Now multiplying the highest exponent prime factors to calculate the LCM of 3977 and 3981.
LCM(3977,3981) = 31×411×971×13271
LCM(3977,3981) = 15832437
Factors of 3977
List of positive integer factors of 3977 that divides 3977 without a remainder.
1, 41, 97, 3977
Factors of 3981
List of positive integer factors of 3981 that divides 3981 without a remainder.
1, 3, 1327, 3981
Least Common Multiple of 3977 and 3981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3977 and 3981, than apply into the LCM equation.
GCF(3977,3981) = 1
LCM(3977,3981) = ( 3977 × 3981) / 1
LCM(3977,3981) = 15832437 / 1
LCM(3977,3981) = 15832437
Properties of LCM 3977 and 3981
(i) The LCM of 3981 and 3977 is associative
LCM of 3977 and 3981 = LCM of 3981 and 3977
Related Least Common Multiples of 3977
Related Least Common Multiples of 3981
Frequently Asked Questions on LCM of 3977 and 3981
1. What is the LCM of 3977 and 3981?
Answer: LCM of 3977 and 3981 is 15832437.
2. What are the Factors of 3977?
Answer: Factors of 3977 are 1, 41, 97, 3977. There are 4 integers that are factors of 3977. The greatest factor of 3977 is 3977.
3. What are the Factors of 3981?
Answer: Factors of 3981 are 1, 3, 1327, 3981. There are 4 integers that are factors of 3981. The greatest factor of 3981 is 3981.
4. How to Find the LCM of 3977 and 3981?
Answer:
Least Common Multiple of 3977 and 3981 = 15832437
Step 1: Find the prime factorization of 3977
3977 = 41 x 97
Step 2: Find the prime factorization of 3981
3981 = 3 x 1327
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15832437 = 3 x 41 x 97 x 1327
Step 4: Therefore, the least common multiple of 3977 and 3981 is 15832437.