Least Common Multiple of 1995 and 1996
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1995 and 1996 the smallest integer that is 3982020 that is divisible by both numbers.
Least Common Multiple (LCM) of 1995 and 1996 is 3982020.
LCM(1995,1996) = 3982020
LCM of 1995 and 1996
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1995 and 1996 by Prime method
- Least Common Multiple of 1995 and 1996 with GCF Formula
LCM of 1995 and 1996 is 3982020
Least common multiple can be found by multiplying the highest exponent prime factors of 1995 and 1996. First we will calculate the prime factors of 1995 and 1996.
Prime Factorization of 1995
| 3 | 1995 |
| 5 | 665 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 1995 are 3, 5, 7,19. Prime factorization of 1995 in exponential form is:
1995 = 31×51×71×191
Prime Factorization of 1996
| 2 | 1996 |
| 2 | 998 |
| 499 | 499 |
| 1 |
Prime factors of 1996 are 2,499. Prime factorization of 1996 in exponential form is:
1996 = 22×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 1995 and 1996.
LCM(1995,1996) = 22×31×51×71×191×4991
LCM(1995,1996) = 3982020
Factors of 1995
List of positive integer factors of 1995 that divides 1995 without a remainder.
1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995
Factors of 1996
List of positive integer factors of 1996 that divides 1996 without a remainder.
1, 2, 4, 499, 998, 1996
Least Common Multiple of 1995 and 1996 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1995 and 1996, than apply into the LCM equation.
GCF(1995,1996) = 1
LCM(1995,1996) = ( 1995 × 1996) / 1
LCM(1995,1996) = 3982020 / 1
LCM(1995,1996) = 3982020
Properties of LCM 1995 and 1996
(i) The LCM of 1996 and 1995 is associative
LCM of 1995 and 1996 = LCM of 1996 and 1995
Related Least Common Multiples of 1995
Related Least Common Multiples of 1996
Frequently Asked Questions on LCM of 1995 and 1996
1. What is the LCM of 1995 and 1996?
Answer: LCM of 1995 and 1996 is 3982020.
2. What are the Factors of 1995?
Answer: Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995. There are 16 integers that are factors of 1995. The greatest factor of 1995 is 1995.
3. What are the Factors of 1996?
Answer: Factors of 1996 are 1, 2, 4, 499, 998, 1996. There are 6 integers that are factors of 1996. The greatest factor of 1996 is 1996.
4. How to Find the LCM of 1995 and 1996?
Answer:
Least Common Multiple of 1995 and 1996 = 3982020
Step 1: Find the prime factorization of 1995
1995 = 3 x 5 x 7 x 19
Step 2: Find the prime factorization of 1996
1996 = 2 x 2 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3982020 = 2 x 2 x 3 x 5 x 7 x 19 x 499
Step 4: Therefore, the least common multiple of 1995 and 1996 is 3982020.