Least Common Multiple of 1107 and 1111
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1107 and 1111 the smallest integer that is 1229877 that is divisible by both numbers.
Least Common Multiple (LCM) of 1107 and 1111 is 1229877.
LCM(1107,1111) = 1229877
LCM of 1107 and 1111
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1107 and 1111 by Prime method
- Least Common Multiple of 1107 and 1111 with GCF Formula
LCM of 1107 and 1111 is 1229877
Least common multiple can be found by multiplying the highest exponent prime factors of 1107 and 1111. First we will calculate the prime factors of 1107 and 1111.
Prime Factorization of 1107
| 3 | 1107 |
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 1107 are 3,41. Prime factorization of 1107 in exponential form is:
1107 = 33×411
Prime Factorization of 1111
| 11 | 1111 |
| 101 | 101 |
| 1 |
Prime factors of 1111 are 11,101. Prime factorization of 1111 in exponential form is:
1111 = 111×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 1107 and 1111.
LCM(1107,1111) = 33×111×411×1011
LCM(1107,1111) = 1229877
Factors of 1107
List of positive integer factors of 1107 that divides 1107 without a remainder.
1, 3, 9, 27, 41, 123, 369, 1107
Factors of 1111
List of positive integer factors of 1111 that divides 1111 without a remainder.
1, 11, 101, 1111
Least Common Multiple of 1107 and 1111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1107 and 1111, than apply into the LCM equation.
GCF(1107,1111) = 1
LCM(1107,1111) = ( 1107 × 1111) / 1
LCM(1107,1111) = 1229877 / 1
LCM(1107,1111) = 1229877
Properties of LCM 1107 and 1111
(i) The LCM of 1111 and 1107 is associative
LCM of 1107 and 1111 = LCM of 1111 and 1107
Related Least Common Multiples of 1107
Related Least Common Multiples of 1111
Frequently Asked Questions on LCM of 1107 and 1111
1. What is the LCM of 1107 and 1111?
Answer: LCM of 1107 and 1111 is 1229877.
2. What are the Factors of 1107?
Answer: Factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107. There are 8 integers that are factors of 1107. The greatest factor of 1107 is 1107.
3. What are the Factors of 1111?
Answer: Factors of 1111 are 1, 11, 101, 1111. There are 4 integers that are factors of 1111. The greatest factor of 1111 is 1111.
4. How to Find the LCM of 1107 and 1111?
Answer:
Least Common Multiple of 1107 and 1111 = 1229877
Step 1: Find the prime factorization of 1107
1107 = 3 x 3 x 3 x 41
Step 2: Find the prime factorization of 1111
1111 = 11 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1229877 = 3 x 3 x 3 x 11 x 41 x 101
Step 4: Therefore, the least common multiple of 1107 and 1111 is 1229877.