Least Common Multiple of 3115 and 3123
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3115 and 3123 the smallest integer that is 9728145 that is divisible by both numbers.
Least Common Multiple (LCM) of 3115 and 3123 is 9728145.
LCM(3115,3123) = 9728145
LCM of 3115 and 3123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3115 and 3123 by Prime method
- Least Common Multiple of 3115 and 3123 with GCF Formula
LCM of 3115 and 3123 is 9728145
Least common multiple can be found by multiplying the highest exponent prime factors of 3115 and 3123. First we will calculate the prime factors of 3115 and 3123.
Prime Factorization of 3115
| 5 | 3115 |
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 3115 are 5, 7,89. Prime factorization of 3115 in exponential form is:
3115 = 51×71×891
Prime Factorization of 3123
| 3 | 3123 |
| 3 | 1041 |
| 347 | 347 |
| 1 |
Prime factors of 3123 are 3,347. Prime factorization of 3123 in exponential form is:
3123 = 32×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 3115 and 3123.
LCM(3115,3123) = 32×51×71×891×3471
LCM(3115,3123) = 9728145
Factors of 3115
List of positive integer factors of 3115 that divides 3115 without a remainder.
1, 5, 7, 35, 89, 445, 623, 3115
Factors of 3123
List of positive integer factors of 3123 that divides 3123 without a remainder.
1, 3, 9, 347, 1041, 3123
Least Common Multiple of 3115 and 3123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3115 and 3123, than apply into the LCM equation.
GCF(3115,3123) = 1
LCM(3115,3123) = ( 3115 × 3123) / 1
LCM(3115,3123) = 9728145 / 1
LCM(3115,3123) = 9728145
Properties of LCM 3115 and 3123
(i) The LCM of 3123 and 3115 is associative
LCM of 3115 and 3123 = LCM of 3123 and 3115
Related Least Common Multiples of 3115
Related Least Common Multiples of 3123
Frequently Asked Questions on LCM of 3115 and 3123
1. What is the LCM of 3115 and 3123?
Answer: LCM of 3115 and 3123 is 9728145.
2. What are the Factors of 3115?
Answer: Factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115. There are 8 integers that are factors of 3115. The greatest factor of 3115 is 3115.
3. What are the Factors of 3123?
Answer: Factors of 3123 are 1, 3, 9, 347, 1041, 3123. There are 6 integers that are factors of 3123. The greatest factor of 3123 is 3123.
4. How to Find the LCM of 3115 and 3123?
Answer:
Least Common Multiple of 3115 and 3123 = 9728145
Step 1: Find the prime factorization of 3115
3115 = 5 x 7 x 89
Step 2: Find the prime factorization of 3123
3123 = 3 x 3 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9728145 = 3 x 3 x 5 x 7 x 89 x 347
Step 4: Therefore, the least common multiple of 3115 and 3123 is 9728145.