Least Common Multiple of 109 and 115
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 109 and 115 the smallest integer that is 12535 that is divisible by both numbers.
Least Common Multiple (LCM) of 109 and 115 is 12535.
LCM(109,115) = 12535
LCM of 109 and 115
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 109 and 115 by Prime method
- Least Common Multiple of 109 and 115 with GCF Formula
LCM of 109 and 115 is 12535
Least common multiple can be found by multiplying the highest exponent prime factors of 109 and 115. First we will calculate the prime factors of 109 and 115.
Prime Factorization of 109
| 109 | 109 |
| 1 |
Prime factors of 109 are 109. Prime factorization of 109 in exponential form is:
109 = 1091
Prime Factorization of 115
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 115 are 5,23. Prime factorization of 115 in exponential form is:
115 = 51×231
Now multiplying the highest exponent prime factors to calculate the LCM of 109 and 115.
LCM(109,115) = 51×231×1091
LCM(109,115) = 12535
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1, 109
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Least Common Multiple of 109 and 115 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 109 and 115, than apply into the LCM equation.
GCF(109,115) = 1
LCM(109,115) = ( 109 × 115) / 1
LCM(109,115) = 12535 / 1
LCM(109,115) = 12535
Properties of LCM 109 and 115
(i) The LCM of 115 and 109 is associative
LCM of 109 and 115 = LCM of 115 and 109
Related Least Common Multiples of 109
Related Least Common Multiples of 115
Frequently Asked Questions on LCM of 109 and 115
1. What is the LCM of 109 and 115?
Answer: LCM of 109 and 115 is 12535.
2. What are the Factors of 109?
Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.
3. What are the Factors of 115?
Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.
4. How to Find the LCM of 109 and 115?
Answer:
Least Common Multiple of 109 and 115 = 12535
Step 1: Find the prime factorization of 109
109 = 109
Step 2: Find the prime factorization of 115
115 = 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12535 = 5 x 23 x 109
Step 4: Therefore, the least common multiple of 109 and 115 is 12535.
