Least Common Multiple of 2977 and 2983
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2977 and 2983 the smallest integer that is 8880391 that is divisible by both numbers.
Least Common Multiple (LCM) of 2977 and 2983 is 8880391.
LCM(2977,2983) = 8880391
LCM of 2977 and 2983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2977 and 2983 by Prime method
- Least Common Multiple of 2977 and 2983 with GCF Formula
LCM of 2977 and 2983 is 8880391
Least common multiple can be found by multiplying the highest exponent prime factors of 2977 and 2983. First we will calculate the prime factors of 2977 and 2983.
Prime Factorization of 2977
| 13 | 2977 |
| 229 | 229 |
| 1 |
Prime factors of 2977 are 13,229. Prime factorization of 2977 in exponential form is:
2977 = 131×2291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2977 and 2983.
LCM(2977,2983) = 131×191×1571×2291
LCM(2977,2983) = 8880391
Factors of 2977
List of positive integer factors of 2977 that divides 2977 without a remainder.
1, 13, 229, 2977
Factors of 2983
List of positive integer factors of 2983 that divides 2983 without a remainder.
1, 19, 157, 2983
Least Common Multiple of 2977 and 2983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2977 and 2983, than apply into the LCM equation.
GCF(2977,2983) = 1
LCM(2977,2983) = ( 2977 × 2983) / 1
LCM(2977,2983) = 8880391 / 1
LCM(2977,2983) = 8880391
Properties of LCM 2977 and 2983
(i) The LCM of 2983 and 2977 is associative
LCM of 2977 and 2983 = LCM of 2983 and 2977
Related Least Common Multiples of 2977
Related Least Common Multiples of 2983
Frequently Asked Questions on LCM of 2977 and 2983
1. What is the LCM of 2977 and 2983?
Answer: LCM of 2977 and 2983 is 8880391.
2. What are the Factors of 2977?
Answer: Factors of 2977 are 1, 13, 229, 2977. There are 4 integers that are factors of 2977. The greatest factor of 2977 is 2977.
3. 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.
4. How to Find the LCM of 2977 and 2983?
Answer:
Least Common Multiple of 2977 and 2983 = 8880391
Step 1: Find the prime factorization of 2977
2977 = 13 x 229
Step 2: Find the prime factorization of 2983
2983 = 19 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8880391 = 13 x 19 x 157 x 229
Step 4: Therefore, the least common multiple of 2977 and 2983 is 8880391.