Least Common Multiple of 3969 and 3977
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3969 and 3977 the smallest integer that is 15784713 that is divisible by both numbers.
Least Common Multiple (LCM) of 3969 and 3977 is 15784713.
LCM(3969,3977) = 15784713
LCM of 3969 and 3977
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3969 and 3977 by Prime method
- Least Common Multiple of 3969 and 3977 with GCF Formula
LCM of 3969 and 3977 is 15784713
Least common multiple can be found by multiplying the highest exponent prime factors of 3969 and 3977. First we will calculate the prime factors of 3969 and 3977.
Prime Factorization of 3969
| 3 | 3969 |
| 3 | 1323 |
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:
3969 = 34×72
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3969 and 3977.
LCM(3969,3977) = 34×72×411×971
LCM(3969,3977) = 15784713
Factors of 3969
List of positive integer factors of 3969 that divides 3969 without a remainder.
1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
Factors of 3977
List of positive integer factors of 3977 that divides 3977 without a remainder.
1, 41, 97, 3977
Least Common Multiple of 3969 and 3977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3969 and 3977, than apply into the LCM equation.
GCF(3969,3977) = 1
LCM(3969,3977) = ( 3969 × 3977) / 1
LCM(3969,3977) = 15784713 / 1
LCM(3969,3977) = 15784713
Properties of LCM 3969 and 3977
(i) The LCM of 3977 and 3969 is associative
LCM of 3969 and 3977 = LCM of 3977 and 3969
Related Least Common Multiples of 3969
Related Least Common Multiples of 3977
Frequently Asked Questions on LCM of 3969 and 3977
1. What is the LCM of 3969 and 3977?
Answer: LCM of 3969 and 3977 is 15784713.
2. What are the Factors of 3969?
Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.
3. 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.
4. How to Find the LCM of 3969 and 3977?
Answer:
Least Common Multiple of 3969 and 3977 = 15784713
Step 1: Find the prime factorization of 3969
3969 = 3 x 3 x 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 3977
3977 = 41 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15784713 = 3 x 3 x 3 x 3 x 7 x 7 x 41 x 97
Step 4: Therefore, the least common multiple of 3969 and 3977 is 15784713.