Least Common Multiple of 1183 and 1187
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1183 and 1187 the smallest integer that is 1404221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1183 and 1187 is 1404221.
LCM(1183,1187) = 1404221
LCM of 1183 and 1187
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1183 and 1187 by Prime method
- Least Common Multiple of 1183 and 1187 with GCF Formula
LCM of 1183 and 1187 is 1404221
Least common multiple can be found by multiplying the highest exponent prime factors of 1183 and 1187. First we will calculate the prime factors of 1183 and 1187.
Prime Factorization of 1183
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 1183 are 7,13. Prime factorization of 1183 in exponential form is:
1183 = 71×132
Prime Factorization of 1187
| 1187 | 1187 |
| 1 |
Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:
1187 = 11871
Now multiplying the highest exponent prime factors to calculate the LCM of 1183 and 1187.
LCM(1183,1187) = 71×132×11871
LCM(1183,1187) = 1404221
Factors of 1183
List of positive integer factors of 1183 that divides 1183 without a remainder.
1, 7, 13, 91, 169, 1183
Factors of 1187
List of positive integer factors of 1187 that divides 1187 without a remainder.
1, 1187
Least Common Multiple of 1183 and 1187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1183 and 1187, than apply into the LCM equation.
GCF(1183,1187) = 1
LCM(1183,1187) = ( 1183 × 1187) / 1
LCM(1183,1187) = 1404221 / 1
LCM(1183,1187) = 1404221
Properties of LCM 1183 and 1187
(i) The LCM of 1187 and 1183 is associative
LCM of 1183 and 1187 = LCM of 1187 and 1183
Related Least Common Multiples of 1183
Related Least Common Multiples of 1187
Frequently Asked Questions on LCM of 1183 and 1187
1. What is the LCM of 1183 and 1187?
Answer: LCM of 1183 and 1187 is 1404221.
2. What are the Factors of 1183?
Answer: Factors of 1183 are 1, 7, 13, 91, 169, 1183. There are 6 integers that are factors of 1183. The greatest factor of 1183 is 1183.
3. What are the Factors of 1187?
Answer: Factors of 1187 are 1, 1187. There are 2 integers that are factors of 1187. The greatest factor of 1187 is 1187.
4. How to Find the LCM of 1183 and 1187?
Answer:
Least Common Multiple of 1183 and 1187 = 1404221
Step 1: Find the prime factorization of 1183
1183 = 7 x 13 x 13
Step 2: Find the prime factorization of 1187
1187 = 1187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1404221 = 7 x 13 x 13 x 1187
Step 4: Therefore, the least common multiple of 1183 and 1187 is 1404221.