Least Common Multiple of 2115 and 2123
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2115 and 2123 the smallest integer that is 4490145 that is divisible by both numbers.
Least Common Multiple (LCM) of 2115 and 2123 is 4490145.
LCM(2115,2123) = 4490145
LCM of 2115 and 2123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2115 and 2123 by Prime method
- Least Common Multiple of 2115 and 2123 with GCF Formula
LCM of 2115 and 2123 is 4490145
Least common multiple can be found by multiplying the highest exponent prime factors of 2115 and 2123. First we will calculate the prime factors of 2115 and 2123.
Prime Factorization of 2115
| 3 | 2115 |
| 3 | 705 |
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 2115 are 3, 5,47. Prime factorization of 2115 in exponential form is:
2115 = 32×51×471
Prime Factorization of 2123
| 11 | 2123 |
| 193 | 193 |
| 1 |
Prime factors of 2123 are 11,193. Prime factorization of 2123 in exponential form is:
2123 = 111×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 2115 and 2123.
LCM(2115,2123) = 32×51×111×471×1931
LCM(2115,2123) = 4490145
Factors of 2115
List of positive integer factors of 2115 that divides 2115 without a remainder.
1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115
Factors of 2123
List of positive integer factors of 2123 that divides 2123 without a remainder.
1, 11, 193, 2123
Least Common Multiple of 2115 and 2123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2115 and 2123, than apply into the LCM equation.
GCF(2115,2123) = 1
LCM(2115,2123) = ( 2115 × 2123) / 1
LCM(2115,2123) = 4490145 / 1
LCM(2115,2123) = 4490145
Properties of LCM 2115 and 2123
(i) The LCM of 2123 and 2115 is associative
LCM of 2115 and 2123 = LCM of 2123 and 2115
Related Least Common Multiples of 2115
Related Least Common Multiples of 2123
Frequently Asked Questions on LCM of 2115 and 2123
1. What is the LCM of 2115 and 2123?
Answer: LCM of 2115 and 2123 is 4490145.
2. What are the Factors of 2115?
Answer: Factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115. There are 12 integers that are factors of 2115. The greatest factor of 2115 is 2115.
3. What are the Factors of 2123?
Answer: Factors of 2123 are 1, 11, 193, 2123. There are 4 integers that are factors of 2123. The greatest factor of 2123 is 2123.
4. How to Find the LCM of 2115 and 2123?
Answer:
Least Common Multiple of 2115 and 2123 = 4490145
Step 1: Find the prime factorization of 2115
2115 = 3 x 3 x 5 x 47
Step 2: Find the prime factorization of 2123
2123 = 11 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4490145 = 3 x 3 x 5 x 11 x 47 x 193
Step 4: Therefore, the least common multiple of 2115 and 2123 is 4490145.