Least Common Multiple of 3977 and 3983
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 3983 the smallest integer that is 15840391 that is divisible by both numbers.
Least Common Multiple (LCM) of 3977 and 3983 is 15840391.
LCM(3977,3983) = 15840391
LCM of 3977 and 3983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3977 and 3983 by Prime method
- Least Common Multiple of 3977 and 3983 with GCF Formula
LCM of 3977 and 3983 is 15840391
Least common multiple can be found by multiplying the highest exponent prime factors of 3977 and 3983. First we will calculate the prime factors of 3977 and 3983.
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 3983
| 7 | 3983 |
| 569 | 569 |
| 1 |
Prime factors of 3983 are 7,569. Prime factorization of 3983 in exponential form is:
3983 = 71×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 3977 and 3983.
LCM(3977,3983) = 71×411×971×5691
LCM(3977,3983) = 15840391
Factors of 3977
List of positive integer factors of 3977 that divides 3977 without a remainder.
1, 41, 97, 3977
Factors of 3983
List of positive integer factors of 3983 that divides 3983 without a remainder.
1, 7, 569, 3983
Least Common Multiple of 3977 and 3983 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 3983, than apply into the LCM equation.
GCF(3977,3983) = 1
LCM(3977,3983) = ( 3977 × 3983) / 1
LCM(3977,3983) = 15840391 / 1
LCM(3977,3983) = 15840391
Properties of LCM 3977 and 3983
(i) The LCM of 3983 and 3977 is associative
LCM of 3977 and 3983 = LCM of 3983 and 3977
Related Least Common Multiples of 3977
Related Least Common Multiples of 3983
Frequently Asked Questions on LCM of 3977 and 3983
1. What is the LCM of 3977 and 3983?
Answer: LCM of 3977 and 3983 is 15840391.
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 3983?
Answer: Factors of 3983 are 1, 7, 569, 3983. There are 4 integers that are factors of 3983. The greatest factor of 3983 is 3983.
4. How to Find the LCM of 3977 and 3983?
Answer:
Least Common Multiple of 3977 and 3983 = 15840391
Step 1: Find the prime factorization of 3977
3977 = 41 x 97
Step 2: Find the prime factorization of 3983
3983 = 7 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15840391 = 7 x 41 x 97 x 569
Step 4: Therefore, the least common multiple of 3977 and 3983 is 15840391.