Least Common Multiple of 2987 and 2993
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2987 and 2993 the smallest integer that is 8940091 that is divisible by both numbers.
Least Common Multiple (LCM) of 2987 and 2993 is 8940091.
LCM(2987,2993) = 8940091
LCM of 2987 and 2993
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2987 and 2993 by Prime method
- Least Common Multiple of 2987 and 2993 with GCF Formula
LCM of 2987 and 2993 is 8940091
Least common multiple can be found by multiplying the highest exponent prime factors of 2987 and 2993. First we will calculate the prime factors of 2987 and 2993.
Prime Factorization of 2987
| 29 | 2987 |
| 103 | 103 |
| 1 |
Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:
2987 = 291×1031
Prime Factorization of 2993
| 41 | 2993 |
| 73 | 73 |
| 1 |
Prime factors of 2993 are 41,73. Prime factorization of 2993 in exponential form is:
2993 = 411×731
Now multiplying the highest exponent prime factors to calculate the LCM of 2987 and 2993.
LCM(2987,2993) = 291×411×731×1031
LCM(2987,2993) = 8940091
Factors of 2987
List of positive integer factors of 2987 that divides 2987 without a remainder.
1, 29, 103, 2987
Factors of 2993
List of positive integer factors of 2993 that divides 2993 without a remainder.
1, 41, 73, 2993
Least Common Multiple of 2987 and 2993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2987 and 2993, than apply into the LCM equation.
GCF(2987,2993) = 1
LCM(2987,2993) = ( 2987 × 2993) / 1
LCM(2987,2993) = 8940091 / 1
LCM(2987,2993) = 8940091
Properties of LCM 2987 and 2993
(i) The LCM of 2993 and 2987 is associative
LCM of 2987 and 2993 = LCM of 2993 and 2987
Related Least Common Multiples of 2987
Related Least Common Multiples of 2993
Frequently Asked Questions on LCM of 2987 and 2993
1. What is the LCM of 2987 and 2993?
Answer: LCM of 2987 and 2993 is 8940091.
2. What are the Factors of 2987?
Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.
3. What are the Factors of 2993?
Answer: Factors of 2993 are 1, 41, 73, 2993. There are 4 integers that are factors of 2993. The greatest factor of 2993 is 2993.
4. How to Find the LCM of 2987 and 2993?
Answer:
Least Common Multiple of 2987 and 2993 = 8940091
Step 1: Find the prime factorization of 2987
2987 = 29 x 103
Step 2: Find the prime factorization of 2993
2993 = 41 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8940091 = 29 x 41 x 73 x 103
Step 4: Therefore, the least common multiple of 2987 and 2993 is 8940091.