Least Common Multiple of 111 and 116
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 111 and 116 the smallest integer that is 12876 that is divisible by both numbers.
Least Common Multiple (LCM) of 111 and 116 is 12876.
LCM(111,116) = 12876
LCM of 111 and 116
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 111 and 116 by Prime method
- Least Common Multiple of 111 and 116 with GCF Formula
LCM of 111 and 116 is 12876
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 116. First we will calculate the prime factors of 111 and 116.
Prime Factorization of 111
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 111 are 3,37. Prime factorization of 111 in exponential form is:
111 = 31×371
Prime Factorization of 116
| 2 | 116 |
| 2 | 58 |
| 29 | 29 |
| 1 |
Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:
116 = 22×291
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 116.
LCM(111,116) = 22×31×291×371
LCM(111,116) = 12876
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Least Common Multiple of 111 and 116 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 111 and 116, than apply into the LCM equation.
GCF(111,116) = 1
LCM(111,116) = ( 111 × 116) / 1
LCM(111,116) = 12876 / 1
LCM(111,116) = 12876
Properties of LCM 111 and 116
(i) The LCM of 116 and 111 is associative
LCM of 111 and 116 = LCM of 116 and 111
Related Least Common Multiples of 111
Related Least Common Multiples of 116
Frequently Asked Questions on LCM of 111 and 116
1. What is the LCM of 111 and 116?
Answer: LCM of 111 and 116 is 12876.
2. What are the Factors of 111?
Answer: Factors of 111 are 1, 3, 37, 111. There are 4 integers that are factors of 111. The greatest factor of 111 is 111.
3. What are the Factors of 116?
Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.
4. How to Find the LCM of 111 and 116?
Answer:
Least Common Multiple of 111 and 116 = 12876
Step 1: Find the prime factorization of 111
111 = 3 x 37
Step 2: Find the prime factorization of 116
116 = 2 x 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12876 = 2 x 2 x 3 x 29 x 37
Step 4: Therefore, the least common multiple of 111 and 116 is 12876.