Least Common Multiple of 995 and 1003
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 1003 the smallest integer that is 997985 that is divisible by both numbers.
Least Common Multiple (LCM) of 995 and 1003 is 997985.
LCM(995,1003) = 997985
LCM of 995 and 1003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 995 and 1003 by Prime method
- Least Common Multiple of 995 and 1003 with GCF Formula
LCM of 995 and 1003 is 997985
Least common multiple can be found by multiplying the highest exponent prime factors of 995 and 1003. First we will calculate the prime factors of 995 and 1003.
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 1003
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 1003 are 17,59. Prime factorization of 1003 in exponential form is:
1003 = 171×591
Now multiplying the highest exponent prime factors to calculate the LCM of 995 and 1003.
LCM(995,1003) = 51×171×591×1991
LCM(995,1003) = 997985
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Factors of 1003
List of positive integer factors of 1003 that divides 1003 without a remainder.
1, 17, 59, 1003
Least Common Multiple of 995 and 1003 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 1003, than apply into the LCM equation.
GCF(995,1003) = 1
LCM(995,1003) = ( 995 × 1003) / 1
LCM(995,1003) = 997985 / 1
LCM(995,1003) = 997985
Properties of LCM 995 and 1003
(i) The LCM of 1003 and 995 is associative
LCM of 995 and 1003 = LCM of 1003 and 995
Related Least Common Multiples of 995
Related Least Common Multiples of 1003
Frequently Asked Questions on LCM of 995 and 1003
1. What is the LCM of 995 and 1003?
Answer: LCM of 995 and 1003 is 997985.
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 1003?
Answer: Factors of 1003 are 1, 17, 59, 1003. There are 4 integers that are factors of 1003. The greatest factor of 1003 is 1003.
4. How to Find the LCM of 995 and 1003?
Answer:
Least Common Multiple of 995 and 1003 = 997985
Step 1: Find the prime factorization of 995
995 = 5 x 199
Step 2: Find the prime factorization of 1003
1003 = 17 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 997985 = 5 x 17 x 59 x 199
Step 4: Therefore, the least common multiple of 995 and 1003 is 997985.
