Least Common Multiple of 5987 and 5995
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5987 and 5995 the smallest integer that is 35892065 that is divisible by both numbers.
Least Common Multiple (LCM) of 5987 and 5995 is 35892065.
LCM(5987,5995) = 35892065
LCM of 5987 and 5995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5987 and 5995 by Prime method
- Least Common Multiple of 5987 and 5995 with GCF Formula
LCM of 5987 and 5995 is 35892065
Least common multiple can be found by multiplying the highest exponent prime factors of 5987 and 5995. First we will calculate the prime factors of 5987 and 5995.
Prime Factorization of 5987
| 5987 | 5987 |
| 1 |
Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:
5987 = 59871
Prime Factorization of 5995
| 5 | 5995 |
| 11 | 1199 |
| 109 | 109 |
| 1 |
Prime factors of 5995 are 5, 11,109. Prime factorization of 5995 in exponential form is:
5995 = 51×111×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 5987 and 5995.
LCM(5987,5995) = 51×111×1091×59871
LCM(5987,5995) = 35892065
Factors of 5987
List of positive integer factors of 5987 that divides 5987 without a remainder.
1, 5987
Factors of 5995
List of positive integer factors of 5995 that divides 5995 without a remainder.
1, 5, 11, 55, 109, 545, 1199, 5995
Least Common Multiple of 5987 and 5995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5987 and 5995, than apply into the LCM equation.
GCF(5987,5995) = 1
LCM(5987,5995) = ( 5987 × 5995) / 1
LCM(5987,5995) = 35892065 / 1
LCM(5987,5995) = 35892065
Properties of LCM 5987 and 5995
(i) The LCM of 5995 and 5987 is associative
LCM of 5987 and 5995 = LCM of 5995 and 5987
Related Least Common Multiples of 5987
Related Least Common Multiples of 5995
Frequently Asked Questions on LCM of 5987 and 5995
1. What is the LCM of 5987 and 5995?
Answer: LCM of 5987 and 5995 is 35892065.
2. What are the Factors of 5987?
Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.
3. What are the Factors of 5995?
Answer: Factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995. There are 8 integers that are factors of 5995. The greatest factor of 5995 is 5995.
4. How to Find the LCM of 5987 and 5995?
Answer:
Least Common Multiple of 5987 and 5995 = 35892065
Step 1: Find the prime factorization of 5987
5987 = 5987
Step 2: Find the prime factorization of 5995
5995 = 5 x 11 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35892065 = 5 x 11 x 109 x 5987
Step 4: Therefore, the least common multiple of 5987 and 5995 is 35892065.