Least Common Multiple of 1133 and 1141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1133 and 1141 the smallest integer that is 1292753 that is divisible by both numbers.
Least Common Multiple (LCM) of 1133 and 1141 is 1292753.
LCM(1133,1141) = 1292753
LCM of 1133 and 1141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1133 and 1141 by Prime method
- Least Common Multiple of 1133 and 1141 with GCF Formula
LCM of 1133 and 1141 is 1292753
Least common multiple can be found by multiplying the highest exponent prime factors of 1133 and 1141. First we will calculate the prime factors of 1133 and 1141.
Prime Factorization of 1133
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 1133 are 11,103. Prime factorization of 1133 in exponential form is:
1133 = 111×1031
Prime Factorization of 1141
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 1141 are 7,163. Prime factorization of 1141 in exponential form is:
1141 = 71×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 1133 and 1141.
LCM(1133,1141) = 71×111×1031×1631
LCM(1133,1141) = 1292753
Factors of 1133
List of positive integer factors of 1133 that divides 1133 without a remainder.
1, 11, 103, 1133
Factors of 1141
List of positive integer factors of 1141 that divides 1141 without a remainder.
1, 7, 163, 1141
Least Common Multiple of 1133 and 1141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1133 and 1141, than apply into the LCM equation.
GCF(1133,1141) = 1
LCM(1133,1141) = ( 1133 × 1141) / 1
LCM(1133,1141) = 1292753 / 1
LCM(1133,1141) = 1292753
Properties of LCM 1133 and 1141
(i) The LCM of 1141 and 1133 is associative
LCM of 1133 and 1141 = LCM of 1141 and 1133
Related Least Common Multiples of 1133
Related Least Common Multiples of 1141
Frequently Asked Questions on LCM of 1133 and 1141
1. What is the LCM of 1133 and 1141?
Answer: LCM of 1133 and 1141 is 1292753.
2. What are the Factors of 1133?
Answer: Factors of 1133 are 1, 11, 103, 1133. There are 4 integers that are factors of 1133. The greatest factor of 1133 is 1133.
3. What are the Factors of 1141?
Answer: Factors of 1141 are 1, 7, 163, 1141. There are 4 integers that are factors of 1141. The greatest factor of 1141 is 1141.
4. How to Find the LCM of 1133 and 1141?
Answer:
Least Common Multiple of 1133 and 1141 = 1292753
Step 1: Find the prime factorization of 1133
1133 = 11 x 103
Step 2: Find the prime factorization of 1141
1141 = 7 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1292753 = 7 x 11 x 103 x 163
Step 4: Therefore, the least common multiple of 1133 and 1141 is 1292753.