Least Common Multiple of 107 and 111
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 107 and 111 the smallest integer that is 11877 that is divisible by both numbers.
Least Common Multiple (LCM) of 107 and 111 is 11877.
LCM(107,111) = 11877
LCM of 107 and 111
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 107 and 111 by Prime method
- Least Common Multiple of 107 and 111 with GCF Formula
LCM of 107 and 111 is 11877
Least common multiple can be found by multiplying the highest exponent prime factors of 107 and 111. First we will calculate the prime factors of 107 and 111.
Prime Factorization of 107
| 107 | 107 |
| 1 |
Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:
107 = 1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 107 and 111.
LCM(107,111) = 31×371×1071
LCM(107,111) = 11877
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1, 107
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Least Common Multiple of 107 and 111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 107 and 111, than apply into the LCM equation.
GCF(107,111) = 1
LCM(107,111) = ( 107 × 111) / 1
LCM(107,111) = 11877 / 1
LCM(107,111) = 11877
Properties of LCM 107 and 111
(i) The LCM of 111 and 107 is associative
LCM of 107 and 111 = LCM of 111 and 107
Related Least Common Multiples of 107
Related Least Common Multiples of 111
Frequently Asked Questions on LCM of 107 and 111
1. What is the LCM of 107 and 111?
Answer: LCM of 107 and 111 is 11877.
2. What are the Factors of 107?
Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.
3. 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.
4. How to Find the LCM of 107 and 111?
Answer:
Least Common Multiple of 107 and 111 = 11877
Step 1: Find the prime factorization of 107
107 = 107
Step 2: Find the prime factorization of 111
111 = 3 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11877 = 3 x 37 x 107
Step 4: Therefore, the least common multiple of 107 and 111 is 11877.