Least Common Multiple of 111 and 118
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 118 the smallest integer that is 13098 that is divisible by both numbers.
Least Common Multiple (LCM) of 111 and 118 is 13098.
LCM(111,118) = 13098
LCM of 111 and 118
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 111 and 118 by Prime method
- Least Common Multiple of 111 and 118 with GCF Formula
LCM of 111 and 118 is 13098
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 118. First we will calculate the prime factors of 111 and 118.
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 118
| 2 | 118 |
| 59 | 59 |
| 1 |
Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:
118 = 21×591
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 118.
LCM(111,118) = 21×31×371×591
LCM(111,118) = 13098
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Least Common Multiple of 111 and 118 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 118, than apply into the LCM equation.
GCF(111,118) = 1
LCM(111,118) = ( 111 × 118) / 1
LCM(111,118) = 13098 / 1
LCM(111,118) = 13098
Properties of LCM 111 and 118
(i) The LCM of 118 and 111 is associative
LCM of 111 and 118 = LCM of 118 and 111
Related Least Common Multiples of 111
Related Least Common Multiples of 118
Frequently Asked Questions on LCM of 111 and 118
1. What is the LCM of 111 and 118?
Answer: LCM of 111 and 118 is 13098.
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 118?
Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.
4. How to Find the LCM of 111 and 118?
Answer:
Least Common Multiple of 111 and 118 = 13098
Step 1: Find the prime factorization of 111
111 = 3 x 37
Step 2: Find the prime factorization of 118
118 = 2 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13098 = 2 x 3 x 37 x 59
Step 4: Therefore, the least common multiple of 111 and 118 is 13098.
