Least Common Multiple of 1127 and 1133
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1127 and 1133 the smallest integer that is 1276891 that is divisible by both numbers.
Least Common Multiple (LCM) of 1127 and 1133 is 1276891.
LCM(1127,1133) = 1276891
LCM of 1127 and 1133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1127 and 1133 by Prime method
- Least Common Multiple of 1127 and 1133 with GCF Formula
LCM of 1127 and 1133 is 1276891
Least common multiple can be found by multiplying the highest exponent prime factors of 1127 and 1133. First we will calculate the prime factors of 1127 and 1133.
Prime Factorization of 1127
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 1127 are 7,23. Prime factorization of 1127 in exponential form is:
1127 = 72×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1127 and 1133.
LCM(1127,1133) = 72×111×231×1031
LCM(1127,1133) = 1276891
Factors of 1127
List of positive integer factors of 1127 that divides 1127 without a remainder.
1, 7, 23, 49, 161, 1127
Factors of 1133
List of positive integer factors of 1133 that divides 1133 without a remainder.
1, 11, 103, 1133
Least Common Multiple of 1127 and 1133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1127 and 1133, than apply into the LCM equation.
GCF(1127,1133) = 1
LCM(1127,1133) = ( 1127 × 1133) / 1
LCM(1127,1133) = 1276891 / 1
LCM(1127,1133) = 1276891
Properties of LCM 1127 and 1133
(i) The LCM of 1133 and 1127 is associative
LCM of 1127 and 1133 = LCM of 1133 and 1127
Related Least Common Multiples of 1127
Related Least Common Multiples of 1133
Frequently Asked Questions on LCM of 1127 and 1133
1. What is the LCM of 1127 and 1133?
Answer: LCM of 1127 and 1133 is 1276891.
2. What are the Factors of 1127?
Answer: Factors of 1127 are 1, 7, 23, 49, 161, 1127. There are 6 integers that are factors of 1127. The greatest factor of 1127 is 1127.
3. 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.
4. How to Find the LCM of 1127 and 1133?
Answer:
Least Common Multiple of 1127 and 1133 = 1276891
Step 1: Find the prime factorization of 1127
1127 = 7 x 7 x 23
Step 2: Find the prime factorization of 1133
1133 = 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1276891 = 7 x 7 x 11 x 23 x 103
Step 4: Therefore, the least common multiple of 1127 and 1133 is 1276891.