Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5181 and 5188 the smallest integer that is 26879028 that is divisible by both numbers.
Least Common Multiple (LCM) of 5181 and 5188 is 26879028.
LCM(5181,5188) = 26879028
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 5181 and 5188. First we will calculate the prime factors of 5181 and 5188.
Prime Factorization of 5181
3 | 5181 |
11 | 1727 |
157 | 157 |
1 |
Prime factors of 5181 are 3, 11,157. Prime factorization of 5181 in exponential form is:
5181 = 31×111×1571
Prime Factorization of 5188
2 | 5188 |
2 | 2594 |
1297 | 1297 |
1 |
Prime factors of 5188 are 2,1297. Prime factorization of 5188 in exponential form is:
5188 = 22×12971
Now multiplying the highest exponent prime factors to calculate the LCM of 5181 and 5188.
LCM(5181,5188) = 22×31×111×1571×12971
LCM(5181,5188) = 26879028
Factors of 5181
List of positive integer factors of 5181 that divides 5181 without a remainder.
1, 3, 11, 33, 157, 471, 1727, 5181
Factors of 5188
List of positive integer factors of 5188 that divides 5188 without a remainder.
1, 2, 4, 1297, 2594, 5188
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5181 and 5188, than apply into the LCM equation.
GCF(5181,5188) = 1
LCM(5181,5188) = ( 5181 × 5188) / 1
LCM(5181,5188) = 26879028 / 1
LCM(5181,5188) = 26879028
(i) The LCM of 5188 and 5181 is associative
LCM of 5181 and 5188 = LCM of 5188 and 5181
1. What is the LCM of 5181 and 5188?
Answer: LCM of 5181 and 5188 is 26879028.
2. What are the Factors of 5181?
Answer: Factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181. There are 8 integers that are factors of 5181. The greatest factor of 5181 is 5181.
3. What are the Factors of 5188?
Answer: Factors of 5188 are 1, 2, 4, 1297, 2594, 5188. There are 6 integers that are factors of 5188. The greatest factor of 5188 is 5188.
4. How to Find the LCM of 5181 and 5188?
Answer:
Least Common Multiple of 5181 and 5188 = 26879028
Step 1: Find the prime factorization of 5181
5181 = 3 x 11 x 157
Step 2: Find the prime factorization of 5188
5188 = 2 x 2 x 1297
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26879028 = 2 x 2 x 3 x 11 x 157 x 1297
Step 4: Therefore, the least common multiple of 5181 and 5188 is 26879028.