Least Common Multiple of 1111 and 1118
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1111 and 1118 the smallest integer that is 1242098 that is divisible by both numbers.
Least Common Multiple (LCM) of 1111 and 1118 is 1242098.
LCM(1111,1118) = 1242098
LCM of 1111 and 1118
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1111 and 1118 by Prime method
- Least Common Multiple of 1111 and 1118 with GCF Formula
LCM of 1111 and 1118 is 1242098
Least common multiple can be found by multiplying the highest exponent prime factors of 1111 and 1118. First we will calculate the prime factors of 1111 and 1118.
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
Prime Factorization of 1118
| 2 | 1118 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 1118 are 2, 13,43. Prime factorization of 1118 in exponential form is:
1118 = 21×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1111 and 1118.
LCM(1111,1118) = 21×111×131×431×1011
LCM(1111,1118) = 1242098
Factors of 1111
List of positive integer factors of 1111 that divides 1111 without a remainder.
1, 11, 101, 1111
Factors of 1118
List of positive integer factors of 1118 that divides 1118 without a remainder.
1, 2, 13, 26, 43, 86, 559, 1118
Least Common Multiple of 1111 and 1118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1111 and 1118, than apply into the LCM equation.
GCF(1111,1118) = 1
LCM(1111,1118) = ( 1111 × 1118) / 1
LCM(1111,1118) = 1242098 / 1
LCM(1111,1118) = 1242098
Properties of LCM 1111 and 1118
(i) The LCM of 1118 and 1111 is associative
LCM of 1111 and 1118 = LCM of 1118 and 1111
Related Least Common Multiples of 1111
Related Least Common Multiples of 1118
Frequently Asked Questions on LCM of 1111 and 1118
1. What is the LCM of 1111 and 1118?
Answer: LCM of 1111 and 1118 is 1242098.
2. 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.
3. What are the Factors of 1118?
Answer: Factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118. There are 8 integers that are factors of 1118. The greatest factor of 1118 is 1118.
4. How to Find the LCM of 1111 and 1118?
Answer:
Least Common Multiple of 1111 and 1118 = 1242098
Step 1: Find the prime factorization of 1111
1111 = 11 x 101
Step 2: Find the prime factorization of 1118
1118 = 2 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1242098 = 2 x 11 x 13 x 43 x 101
Step 4: Therefore, the least common multiple of 1111 and 1118 is 1242098.