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 3982 the smallest integer that is 15836414 that is divisible by both numbers.
Least Common Multiple (LCM) of 3977 and 3982 is 15836414.
LCM(3977,3982) = 15836414
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 3977 and 3982. First we will calculate the prime factors of 3977 and 3982.
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 3982
2 | 3982 |
11 | 1991 |
181 | 181 |
1 |
Prime factors of 3982 are 2, 11,181. Prime factorization of 3982 in exponential form is:
3982 = 21×111×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 3977 and 3982.
LCM(3977,3982) = 21×111×411×971×1811
LCM(3977,3982) = 15836414
Factors of 3977
List of positive integer factors of 3977 that divides 3977 without a remainder.
1, 41, 97, 3977
Factors of 3982
List of positive integer factors of 3982 that divides 3982 without a remainder.
1, 2, 11, 22, 181, 362, 1991, 3982
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3977 and 3982, than apply into the LCM equation.
GCF(3977,3982) = 1
LCM(3977,3982) = ( 3977 × 3982) / 1
LCM(3977,3982) = 15836414 / 1
LCM(3977,3982) = 15836414
(i) The LCM of 3982 and 3977 is associative
LCM of 3977 and 3982 = LCM of 3982 and 3977
1. What is the LCM of 3977 and 3982?
Answer: LCM of 3977 and 3982 is 15836414.
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 3982?
Answer: Factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982. There are 8 integers that are factors of 3982. The greatest factor of 3982 is 3982.
4. How to Find the LCM of 3977 and 3982?
Answer:
Least Common Multiple of 3977 and 3982 = 15836414
Step 1: Find the prime factorization of 3977
3977 = 41 x 97
Step 2: Find the prime factorization of 3982
3982 = 2 x 11 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15836414 = 2 x 11 x 41 x 97 x 181
Step 4: Therefore, the least common multiple of 3977 and 3982 is 15836414.