Least Common Multiple of 2945 and 2951
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2945 and 2951 the smallest integer that is 8690695 that is divisible by both numbers.
Least Common Multiple (LCM) of 2945 and 2951 is 8690695.
LCM(2945,2951) = 8690695
LCM of 2945 and 2951
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2945 and 2951 by Prime method
- Least Common Multiple of 2945 and 2951 with GCF Formula
LCM of 2945 and 2951 is 8690695
Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2951. First we will calculate the prime factors of 2945 and 2951.
Prime Factorization of 2945
| 5 | 2945 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 2945 are 5, 19,31. Prime factorization of 2945 in exponential form is:
2945 = 51×191×311
Prime Factorization of 2951
| 13 | 2951 |
| 227 | 227 |
| 1 |
Prime factors of 2951 are 13,227. Prime factorization of 2951 in exponential form is:
2951 = 131×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 2945 and 2951.
LCM(2945,2951) = 51×131×191×311×2271
LCM(2945,2951) = 8690695
Factors of 2945
List of positive integer factors of 2945 that divides 2945 without a remainder.
1, 5, 19, 31, 95, 155, 589, 2945
Factors of 2951
List of positive integer factors of 2951 that divides 2951 without a remainder.
1, 13, 227, 2951
Least Common Multiple of 2945 and 2951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2951, than apply into the LCM equation.
GCF(2945,2951) = 1
LCM(2945,2951) = ( 2945 × 2951) / 1
LCM(2945,2951) = 8690695 / 1
LCM(2945,2951) = 8690695
Properties of LCM 2945 and 2951
(i) The LCM of 2951 and 2945 is associative
LCM of 2945 and 2951 = LCM of 2951 and 2945
Related Least Common Multiples of 2945
Related Least Common Multiples of 2951
Frequently Asked Questions on LCM of 2945 and 2951
1. What is the LCM of 2945 and 2951?
Answer: LCM of 2945 and 2951 is 8690695.
2. What are the Factors of 2945?
Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.
3. What are the Factors of 2951?
Answer: Factors of 2951 are 1, 13, 227, 2951. There are 4 integers that are factors of 2951. The greatest factor of 2951 is 2951.
4. How to Find the LCM of 2945 and 2951?
Answer:
Least Common Multiple of 2945 and 2951 = 8690695
Step 1: Find the prime factorization of 2945
2945 = 5 x 19 x 31
Step 2: Find the prime factorization of 2951
2951 = 13 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8690695 = 5 x 13 x 19 x 31 x 227
Step 4: Therefore, the least common multiple of 2945 and 2951 is 8690695.