Least Common Multiple of 1155 and 1159
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1155 and 1159 the smallest integer that is 1338645 that is divisible by both numbers.
Least Common Multiple (LCM) of 1155 and 1159 is 1338645.
LCM(1155,1159) = 1338645
LCM of 1155 and 1159
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1155 and 1159 by Prime method
- Least Common Multiple of 1155 and 1159 with GCF Formula
LCM of 1155 and 1159 is 1338645
Least common multiple can be found by multiplying the highest exponent prime factors of 1155 and 1159. First we will calculate the prime factors of 1155 and 1159.
Prime Factorization of 1155
| 3 | 1155 |
| 5 | 385 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 1155 are 3, 5, 7,11. Prime factorization of 1155 in exponential form is:
1155 = 31×51×71×111
Prime Factorization of 1159
| 19 | 1159 |
| 61 | 61 |
| 1 |
Prime factors of 1159 are 19,61. Prime factorization of 1159 in exponential form is:
1159 = 191×611
Now multiplying the highest exponent prime factors to calculate the LCM of 1155 and 1159.
LCM(1155,1159) = 31×51×71×111×191×611
LCM(1155,1159) = 1338645
Factors of 1155
List of positive integer factors of 1155 that divides 1155 without a remainder.
1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
Factors of 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1, 19, 61, 1159
Least Common Multiple of 1155 and 1159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1155 and 1159, than apply into the LCM equation.
GCF(1155,1159) = 1
LCM(1155,1159) = ( 1155 × 1159) / 1
LCM(1155,1159) = 1338645 / 1
LCM(1155,1159) = 1338645
Properties of LCM 1155 and 1159
(i) The LCM of 1159 and 1155 is associative
LCM of 1155 and 1159 = LCM of 1159 and 1155
Related Least Common Multiples of 1155
Related Least Common Multiples of 1159
Frequently Asked Questions on LCM of 1155 and 1159
1. What is the LCM of 1155 and 1159?
Answer: LCM of 1155 and 1159 is 1338645.
2. What are the Factors of 1155?
Answer: Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. There are 16 integers that are factors of 1155. The greatest factor of 1155 is 1155.
3. What are the Factors of 1159?
Answer: Factors of 1159 are 1, 19, 61, 1159. There are 4 integers that are factors of 1159. The greatest factor of 1159 is 1159.
4. How to Find the LCM of 1155 and 1159?
Answer:
Least Common Multiple of 1155 and 1159 = 1338645
Step 1: Find the prime factorization of 1155
1155 = 3 x 5 x 7 x 11
Step 2: Find the prime factorization of 1159
1159 = 19 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1338645 = 3 x 5 x 7 x 11 x 19 x 61
Step 4: Therefore, the least common multiple of 1155 and 1159 is 1338645.
