Least Common Multiple of 2983 and 2989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2983 and 2989 the smallest integer that is 8916187 that is divisible by both numbers.
Least Common Multiple (LCM) of 2983 and 2989 is 8916187.
LCM(2983,2989) = 8916187
LCM of 2983 and 2989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2983 and 2989 by Prime method
- Least Common Multiple of 2983 and 2989 with GCF Formula
LCM of 2983 and 2989 is 8916187
Least common multiple can be found by multiplying the highest exponent prime factors of 2983 and 2989. First we will calculate the prime factors of 2983 and 2989.
Prime Factorization of 2983
| 19 | 2983 |
| 157 | 157 |
| 1 |
Prime factors of 2983 are 19,157. Prime factorization of 2983 in exponential form is:
2983 = 191×1571
Prime Factorization of 2989
| 7 | 2989 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 2989 are 7,61. Prime factorization of 2989 in exponential form is:
2989 = 72×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2983 and 2989.
LCM(2983,2989) = 72×191×611×1571
LCM(2983,2989) = 8916187
Factors of 2983
List of positive integer factors of 2983 that divides 2983 without a remainder.
1, 19, 157, 2983
Factors of 2989
List of positive integer factors of 2989 that divides 2989 without a remainder.
1, 7, 49, 61, 427, 2989
Least Common Multiple of 2983 and 2989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2983 and 2989, than apply into the LCM equation.
GCF(2983,2989) = 1
LCM(2983,2989) = ( 2983 × 2989) / 1
LCM(2983,2989) = 8916187 / 1
LCM(2983,2989) = 8916187
Properties of LCM 2983 and 2989
(i) The LCM of 2989 and 2983 is associative
LCM of 2983 and 2989 = LCM of 2989 and 2983
Related Least Common Multiples of 2983
Related Least Common Multiples of 2989
Frequently Asked Questions on LCM of 2983 and 2989
1. What is the LCM of 2983 and 2989?
Answer: LCM of 2983 and 2989 is 8916187.
2. What are the Factors of 2983?
Answer: Factors of 2983 are 1, 19, 157, 2983. There are 4 integers that are factors of 2983. The greatest factor of 2983 is 2983.
3. What are the Factors of 2989?
Answer: Factors of 2989 are 1, 7, 49, 61, 427, 2989. There are 6 integers that are factors of 2989. The greatest factor of 2989 is 2989.
4. How to Find the LCM of 2983 and 2989?
Answer:
Least Common Multiple of 2983 and 2989 = 8916187
Step 1: Find the prime factorization of 2983
2983 = 19 x 157
Step 2: Find the prime factorization of 2989
2989 = 7 x 7 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8916187 = 7 x 7 x 19 x 61 x 157
Step 4: Therefore, the least common multiple of 2983 and 2989 is 8916187.