Least Common Multiple of 3963 and 3971
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3963 and 3971 the smallest integer that is 15737073 that is divisible by both numbers.
Least Common Multiple (LCM) of 3963 and 3971 is 15737073.
LCM(3963,3971) = 15737073
LCM of 3963 and 3971
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3963 and 3971 by Prime method
- Least Common Multiple of 3963 and 3971 with GCF Formula
LCM of 3963 and 3971 is 15737073
Least common multiple can be found by multiplying the highest exponent prime factors of 3963 and 3971. First we will calculate the prime factors of 3963 and 3971.
Prime Factorization of 3963
| 3 | 3963 |
| 1321 | 1321 |
| 1 |
Prime factors of 3963 are 3,1321. Prime factorization of 3963 in exponential form is:
3963 = 31×13211
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3963 and 3971.
LCM(3963,3971) = 31×111×192×13211
LCM(3963,3971) = 15737073
Factors of 3963
List of positive integer factors of 3963 that divides 3963 without a remainder.
1, 3, 1321, 3963
Factors of 3971
List of positive integer factors of 3971 that divides 3971 without a remainder.
1, 11, 19, 209, 361, 3971
Least Common Multiple of 3963 and 3971 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3963 and 3971, than apply into the LCM equation.
GCF(3963,3971) = 1
LCM(3963,3971) = ( 3963 × 3971) / 1
LCM(3963,3971) = 15737073 / 1
LCM(3963,3971) = 15737073
Properties of LCM 3963 and 3971
(i) The LCM of 3971 and 3963 is associative
LCM of 3963 and 3971 = LCM of 3971 and 3963
Related Least Common Multiples of 3963
Related Least Common Multiples of 3971
Frequently Asked Questions on LCM of 3963 and 3971
1. What is the LCM of 3963 and 3971?
Answer: LCM of 3963 and 3971 is 15737073.
2. What are the Factors of 3963?
Answer: Factors of 3963 are 1, 3, 1321, 3963. There are 4 integers that are factors of 3963. The greatest factor of 3963 is 3963.
3. 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.
4. How to Find the LCM of 3963 and 3971?
Answer:
Least Common Multiple of 3963 and 3971 = 15737073
Step 1: Find the prime factorization of 3963
3963 = 3 x 1321
Step 2: Find the prime factorization of 3971
3971 = 11 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15737073 = 3 x 11 x 19 x 19 x 1321
Step 4: Therefore, the least common multiple of 3963 and 3971 is 15737073.