Least Common Multiple of 5183 and 5187
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5183 and 5187 the smallest integer that is 26884221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5183 and 5187 is 26884221.
LCM(5183,5187) = 26884221
LCM of 5183 and 5187
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5183 and 5187 by Prime method
- Least Common Multiple of 5183 and 5187 with GCF Formula
LCM of 5183 and 5187 is 26884221
Least common multiple can be found by multiplying the highest exponent prime factors of 5183 and 5187. First we will calculate the prime factors of 5183 and 5187.
Prime Factorization of 5183
| 71 | 5183 |
| 73 | 73 |
| 1 |
Prime factors of 5183 are 71,73. Prime factorization of 5183 in exponential form is:
5183 = 711×731
Prime Factorization of 5187
| 3 | 5187 |
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 5187 are 3, 7, 13,19. Prime factorization of 5187 in exponential form is:
5187 = 31×71×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 5183 and 5187.
LCM(5183,5187) = 31×71×131×191×711×731
LCM(5183,5187) = 26884221
Factors of 5183
List of positive integer factors of 5183 that divides 5183 without a remainder.
1, 71, 73, 5183
Factors of 5187
List of positive integer factors of 5187 that divides 5187 without a remainder.
1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
Least Common Multiple of 5183 and 5187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5183 and 5187, than apply into the LCM equation.
GCF(5183,5187) = 1
LCM(5183,5187) = ( 5183 × 5187) / 1
LCM(5183,5187) = 26884221 / 1
LCM(5183,5187) = 26884221
Properties of LCM 5183 and 5187
(i) The LCM of 5187 and 5183 is associative
LCM of 5183 and 5187 = LCM of 5187 and 5183
Related Least Common Multiples of 5183
Related Least Common Multiples of 5187
Frequently Asked Questions on LCM of 5183 and 5187
1. What is the LCM of 5183 and 5187?
Answer: LCM of 5183 and 5187 is 26884221.
2. What are the Factors of 5183?
Answer: Factors of 5183 are 1, 71, 73, 5183. There are 4 integers that are factors of 5183. The greatest factor of 5183 is 5183.
3. What are the Factors of 5187?
Answer: Factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187. There are 16 integers that are factors of 5187. The greatest factor of 5187 is 5187.
4. How to Find the LCM of 5183 and 5187?
Answer:
Least Common Multiple of 5183 and 5187 = 26884221
Step 1: Find the prime factorization of 5183
5183 = 71 x 73
Step 2: Find the prime factorization of 5187
5187 = 3 x 7 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26884221 = 3 x 7 x 13 x 19 x 71 x 73
Step 4: Therefore, the least common multiple of 5183 and 5187 is 26884221.