Least Common Multiple of 1125 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 1125 and 1133 the smallest integer that is 1274625 that is divisible by both numbers.
Least Common Multiple (LCM) of 1125 and 1133 is 1274625.
LCM(1125,1133) = 1274625
LCM of 1125 and 1133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1125 and 1133 by Prime method
- Least Common Multiple of 1125 and 1133 with GCF Formula
LCM of 1125 and 1133 is 1274625
Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1133. First we will calculate the prime factors of 1125 and 1133.
Prime Factorization of 1125
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:
1125 = 32×53
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 1125 and 1133.
LCM(1125,1133) = 32×53×111×1031
LCM(1125,1133) = 1274625
Factors of 1125
List of positive integer factors of 1125 that divides 1125 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125
Factors of 1133
List of positive integer factors of 1133 that divides 1133 without a remainder.
1, 11, 103, 1133
Least Common Multiple of 1125 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 1125 and 1133, than apply into the LCM equation.
GCF(1125,1133) = 1
LCM(1125,1133) = ( 1125 × 1133) / 1
LCM(1125,1133) = 1274625 / 1
LCM(1125,1133) = 1274625
Properties of LCM 1125 and 1133
(i) The LCM of 1133 and 1125 is associative
LCM of 1125 and 1133 = LCM of 1133 and 1125
Related Least Common Multiples of 1125
Related Least Common Multiples of 1133
Frequently Asked Questions on LCM of 1125 and 1133
1. What is the LCM of 1125 and 1133?
Answer: LCM of 1125 and 1133 is 1274625.
2. What are the Factors of 1125?
Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.
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 1125 and 1133?
Answer:
Least Common Multiple of 1125 and 1133 = 1274625
Step 1: Find the prime factorization of 1125
1125 = 3 x 3 x 5 x 5 x 5
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 = 1274625 = 3 x 3 x 5 x 5 x 5 x 11 x 103
Step 4: Therefore, the least common multiple of 1125 and 1133 is 1274625.