Least Common Multiple of 3971 and 3979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3971 and 3979 the smallest integer that is 15800609 that is divisible by both numbers.
Least Common Multiple (LCM) of 3971 and 3979 is 15800609.
LCM(3971,3979) = 15800609
LCM of 3971 and 3979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3971 and 3979 by Prime method
- Least Common Multiple of 3971 and 3979 with GCF Formula
LCM of 3971 and 3979 is 15800609
Least common multiple can be found by multiplying the highest exponent prime factors of 3971 and 3979. First we will calculate the prime factors of 3971 and 3979.
Prime Factorization of 3971
| 11 | 3971 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3971 are 11,19. Prime factorization of 3971 in exponential form is:
3971 = 111×192
Prime Factorization of 3979
| 23 | 3979 |
| 173 | 173 |
| 1 |
Prime factors of 3979 are 23,173. Prime factorization of 3979 in exponential form is:
3979 = 231×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 3971 and 3979.
LCM(3971,3979) = 111×192×231×1731
LCM(3971,3979) = 15800609
Factors of 3971
List of positive integer factors of 3971 that divides 3971 without a remainder.
1, 11, 19, 209, 361, 3971
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1, 23, 173, 3979
Least Common Multiple of 3971 and 3979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3971 and 3979, than apply into the LCM equation.
GCF(3971,3979) = 1
LCM(3971,3979) = ( 3971 × 3979) / 1
LCM(3971,3979) = 15800609 / 1
LCM(3971,3979) = 15800609
Properties of LCM 3971 and 3979
(i) The LCM of 3979 and 3971 is associative
LCM of 3971 and 3979 = LCM of 3979 and 3971
Related Least Common Multiples of 3971
Related Least Common Multiples of 3979
Frequently Asked Questions on LCM of 3971 and 3979
1. What is the LCM of 3971 and 3979?
Answer: LCM of 3971 and 3979 is 15800609.
2. What are the Factors of 3971?
Answer: Factors of 3971 are 1, 11, 19, 209, 361, 3971. There are 6 integers that are factors of 3971. The greatest factor of 3971 is 3971.
3. What are the Factors of 3979?
Answer: Factors of 3979 are 1, 23, 173, 3979. There are 4 integers that are factors of 3979. The greatest factor of 3979 is 3979.
4. How to Find the LCM of 3971 and 3979?
Answer:
Least Common Multiple of 3971 and 3979 = 15800609
Step 1: Find the prime factorization of 3971
3971 = 11 x 19 x 19
Step 2: Find the prime factorization of 3979
3979 = 23 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15800609 = 11 x 19 x 19 x 23 x 173
Step 4: Therefore, the least common multiple of 3971 and 3979 is 15800609.