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 1163 the smallest integer that is 1343265 that is divisible by both numbers.
Least Common Multiple (LCM) of 1155 and 1163 is 1343265.
LCM(1155,1163) = 1343265
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1155 and 1163. First we will calculate the prime factors of 1155 and 1163.
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 1163
1163 | 1163 |
1 |
Prime factors of 1163 are 1163. Prime factorization of 1163 in exponential form is:
1163 = 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 1155 and 1163.
LCM(1155,1163) = 31×51×71×111×11631
LCM(1155,1163) = 1343265
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 1163
List of positive integer factors of 1163 that divides 1163 without a remainder.
1, 1163
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1155 and 1163, than apply into the LCM equation.
GCF(1155,1163) = 1
LCM(1155,1163) = ( 1155 × 1163) / 1
LCM(1155,1163) = 1343265 / 1
LCM(1155,1163) = 1343265
(i) The LCM of 1163 and 1155 is associative
LCM of 1155 and 1163 = LCM of 1163 and 1155
1. What is the LCM of 1155 and 1163?
Answer: LCM of 1155 and 1163 is 1343265.
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 1163?
Answer: Factors of 1163 are 1, 1163. There are 2 integers that are factors of 1163. The greatest factor of 1163 is 1163.
4. How to Find the LCM of 1155 and 1163?
Answer:
Least Common Multiple of 1155 and 1163 = 1343265
Step 1: Find the prime factorization of 1155
1155 = 3 x 5 x 7 x 11
Step 2: Find the prime factorization of 1163
1163 = 1163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1343265 = 3 x 5 x 7 x 11 x 1163
Step 4: Therefore, the least common multiple of 1155 and 1163 is 1343265.