Least Common Multiple of 995 and 1001
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 995 and 1001 the smallest integer that is 995995 that is divisible by both numbers.
Least Common Multiple (LCM) of 995 and 1001 is 995995.
LCM(995,1001) = 995995
LCM of 995 and 1001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 995 and 1001 by Prime method
- Least Common Multiple of 995 and 1001 with GCF Formula
LCM of 995 and 1001 is 995995
Least common multiple can be found by multiplying the highest exponent prime factors of 995 and 1001. First we will calculate the prime factors of 995 and 1001.
Prime Factorization of 995
| 5 | 995 |
| 199 | 199 |
| 1 |
Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:
995 = 51×1991
Prime Factorization of 1001
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 1001 are 7, 11,13. Prime factorization of 1001 in exponential form is:
1001 = 71×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 995 and 1001.
LCM(995,1001) = 51×71×111×131×1991
LCM(995,1001) = 995995
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Factors of 1001
List of positive integer factors of 1001 that divides 1001 without a remainder.
1, 7, 11, 13, 77, 91, 143, 1001
Least Common Multiple of 995 and 1001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 995 and 1001, than apply into the LCM equation.
GCF(995,1001) = 1
LCM(995,1001) = ( 995 × 1001) / 1
LCM(995,1001) = 995995 / 1
LCM(995,1001) = 995995
Properties of LCM 995 and 1001
(i) The LCM of 1001 and 995 is associative
LCM of 995 and 1001 = LCM of 1001 and 995
Related Least Common Multiples of 995
Related Least Common Multiples of 1001
Frequently Asked Questions on LCM of 995 and 1001
1. What is the LCM of 995 and 1001?
Answer: LCM of 995 and 1001 is 995995.
2. What are the Factors of 995?
Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.
3. What are the Factors of 1001?
Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.
4. How to Find the LCM of 995 and 1001?
Answer:
Least Common Multiple of 995 and 1001 = 995995
Step 1: Find the prime factorization of 995
995 = 5 x 199
Step 2: Find the prime factorization of 1001
1001 = 7 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 995995 = 5 x 7 x 11 x 13 x 199
Step 4: Therefore, the least common multiple of 995 and 1001 is 995995.
