Least Common Multiple of 1106 and 1113
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1106 and 1113 the smallest integer that is 175854 that is divisible by both numbers.
Least Common Multiple (LCM) of 1106 and 1113 is 175854.
LCM(1106,1113) = 175854
LCM of 1106 and 1113
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1106 and 1113 by Prime method
- Least Common Multiple of 1106 and 1113 with GCF Formula
LCM of 1106 and 1113 is 175854
Least common multiple can be found by multiplying the highest exponent prime factors of 1106 and 1113. First we will calculate the prime factors of 1106 and 1113.
Prime Factorization of 1106
| 2 | 1106 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 1106 are 2, 7,79. Prime factorization of 1106 in exponential form is:
1106 = 21×71×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1106 and 1113.
LCM(1106,1113) = 21×31×71×531×791
LCM(1106,1113) = 175854
Factors of 1106
List of positive integer factors of 1106 that divides 1106 without a remainder.
1, 2, 7, 14, 79, 158, 553, 1106
Factors of 1113
List of positive integer factors of 1113 that divides 1113 without a remainder.
1, 3, 7, 21, 53, 159, 371, 1113
Least Common Multiple of 1106 and 1113 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1106 and 1113, than apply into the LCM equation.
GCF(1106,1113) = 7
LCM(1106,1113) = ( 1106 × 1113) / 7
LCM(1106,1113) = 1230978 / 7
LCM(1106,1113) = 175854
Properties of LCM 1106 and 1113
(i) The LCM of 1113 and 1106 is associative
LCM of 1106 and 1113 = LCM of 1113 and 1106
Related Least Common Multiples of 1106
Related Least Common Multiples of 1113
Frequently Asked Questions on LCM of 1106 and 1113
1. What is the LCM of 1106 and 1113?
Answer: LCM of 1106 and 1113 is 175854.
2. What are the Factors of 1106?
Answer: Factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106. There are 8 integers that are factors of 1106. The greatest factor of 1106 is 1106.
3. 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.
4. How to Find the LCM of 1106 and 1113?
Answer:
Least Common Multiple of 1106 and 1113 = 175854
Step 1: Find the prime factorization of 1106
1106 = 2 x 7 x 79
Step 2: Find the prime factorization of 1113
1113 = 3 x 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 175854 = 2 x 3 x 7 x 53 x 79
Step 4: Therefore, the least common multiple of 1106 and 1113 is 175854.