Least Common Multiple of 1113 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 1113 and 1118 the smallest integer that is 1244334 that is divisible by both numbers.
Least Common Multiple (LCM) of 1113 and 1118 is 1244334.
LCM(1113,1118) = 1244334
LCM of 1113 and 1118
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1113 and 1118 by Prime method
- Least Common Multiple of 1113 and 1118 with GCF Formula
LCM of 1113 and 1118 is 1244334
Least common multiple can be found by multiplying the highest exponent prime factors of 1113 and 1118. First we will calculate the prime factors of 1113 and 1118.
Prime Factorization of 1113
| 3 | 1113 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 1113 are 3, 7,53. Prime factorization of 1113 in exponential form is:
1113 = 31×71×531
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 1113 and 1118.
LCM(1113,1118) = 21×31×71×131×431×531
LCM(1113,1118) = 1244334
Factors of 1113
List of positive integer factors of 1113 that divides 1113 without a remainder.
1, 3, 7, 21, 53, 159, 371, 1113
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 1113 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 1113 and 1118, than apply into the LCM equation.
GCF(1113,1118) = 1
LCM(1113,1118) = ( 1113 × 1118) / 1
LCM(1113,1118) = 1244334 / 1
LCM(1113,1118) = 1244334
Properties of LCM 1113 and 1118
(i) The LCM of 1118 and 1113 is associative
LCM of 1113 and 1118 = LCM of 1118 and 1113
Related Least Common Multiples of 1113
Related Least Common Multiples of 1118
Frequently Asked Questions on LCM of 1113 and 1118
1. What is the LCM of 1113 and 1118?
Answer: LCM of 1113 and 1118 is 1244334.
2. What are the Factors of 1113?
Answer: Factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113. There are 8 integers that are factors of 1113. The greatest factor of 1113 is 1113.
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 1113 and 1118?
Answer:
Least Common Multiple of 1113 and 1118 = 1244334
Step 1: Find the prime factorization of 1113
1113 = 3 x 7 x 53
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 = 1244334 = 2 x 3 x 7 x 13 x 43 x 53
Step 4: Therefore, the least common multiple of 1113 and 1118 is 1244334.