Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1163 and 1169 the smallest integer that is 1359547 that is divisible by both numbers.
Least Common Multiple (LCM) of 1163 and 1169 is 1359547.
LCM(1163,1169) = 1359547
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 1163 and 1169. First we will calculate the prime factors of 1163 and 1169.
Prime Factorization of 1163
1163 | 1163 |
1 |
Prime factors of 1163 are 1163. Prime factorization of 1163 in exponential form is:
1163 = 11631
Prime Factorization of 1169
7 | 1169 |
167 | 167 |
1 |
Prime factors of 1169 are 7,167. Prime factorization of 1169 in exponential form is:
1169 = 71×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 1163 and 1169.
LCM(1163,1169) = 71×1671×11631
LCM(1163,1169) = 1359547
Factors of 1163
List of positive integer factors of 1163 that divides 1163 without a remainder.
1, 1163
Factors of 1169
List of positive integer factors of 1169 that divides 1169 without a remainder.
1, 7, 167, 1169
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1163 and 1169, than apply into the LCM equation.
GCF(1163,1169) = 1
LCM(1163,1169) = ( 1163 × 1169) / 1
LCM(1163,1169) = 1359547 / 1
LCM(1163,1169) = 1359547
(i) The LCM of 1169 and 1163 is associative
LCM of 1163 and 1169 = LCM of 1169 and 1163
1. What is the LCM of 1163 and 1169?
Answer: LCM of 1163 and 1169 is 1359547.
2. 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.
3. What are the Factors of 1169?
Answer: Factors of 1169 are 1, 7, 167, 1169. There are 4 integers that are factors of 1169. The greatest factor of 1169 is 1169.
4. How to Find the LCM of 1163 and 1169?
Answer:
Least Common Multiple of 1163 and 1169 = 1359547
Step 1: Find the prime factorization of 1163
1163 = 1163
Step 2: Find the prime factorization of 1169
1169 = 7 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1359547 = 7 x 167 x 1163
Step 4: Therefore, the least common multiple of 1163 and 1169 is 1359547.