Least Common Multiple of 2915 and 2923
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2915 and 2923 the smallest integer that is 8520545 that is divisible by both numbers.
Least Common Multiple (LCM) of 2915 and 2923 is 8520545.
LCM(2915,2923) = 8520545
LCM of 2915 and 2923
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2915 and 2923 by Prime method
- Least Common Multiple of 2915 and 2923 with GCF Formula
LCM of 2915 and 2923 is 8520545
Least common multiple can be found by multiplying the highest exponent prime factors of 2915 and 2923. First we will calculate the prime factors of 2915 and 2923.
Prime Factorization of 2915
| 5 | 2915 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 2915 are 5, 11,53. Prime factorization of 2915 in exponential form is:
2915 = 51×111×531
Prime Factorization of 2923
| 37 | 2923 |
| 79 | 79 |
| 1 |
Prime factors of 2923 are 37,79. Prime factorization of 2923 in exponential form is:
2923 = 371×791
Now multiplying the highest exponent prime factors to calculate the LCM of 2915 and 2923.
LCM(2915,2923) = 51×111×371×531×791
LCM(2915,2923) = 8520545
Factors of 2915
List of positive integer factors of 2915 that divides 2915 without a remainder.
1, 5, 11, 53, 55, 265, 583, 2915
Factors of 2923
List of positive integer factors of 2923 that divides 2923 without a remainder.
1, 37, 79, 2923
Least Common Multiple of 2915 and 2923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2915 and 2923, than apply into the LCM equation.
GCF(2915,2923) = 1
LCM(2915,2923) = ( 2915 × 2923) / 1
LCM(2915,2923) = 8520545 / 1
LCM(2915,2923) = 8520545
Properties of LCM 2915 and 2923
(i) The LCM of 2923 and 2915 is associative
LCM of 2915 and 2923 = LCM of 2923 and 2915
Related Least Common Multiples of 2915
Related Least Common Multiples of 2923
Frequently Asked Questions on LCM of 2915 and 2923
1. What is the LCM of 2915 and 2923?
Answer: LCM of 2915 and 2923 is 8520545.
2. What are the Factors of 2915?
Answer: Factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915. There are 8 integers that are factors of 2915. The greatest factor of 2915 is 2915.
3. What are the Factors of 2923?
Answer: Factors of 2923 are 1, 37, 79, 2923. There are 4 integers that are factors of 2923. The greatest factor of 2923 is 2923.
4. How to Find the LCM of 2915 and 2923?
Answer:
Least Common Multiple of 2915 and 2923 = 8520545
Step 1: Find the prime factorization of 2915
2915 = 5 x 11 x 53
Step 2: Find the prime factorization of 2923
2923 = 37 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8520545 = 5 x 11 x 37 x 53 x 79
Step 4: Therefore, the least common multiple of 2915 and 2923 is 8520545.