Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6188 and 6196 the smallest integer that is 9585212 that is divisible by both numbers.
Least Common Multiple (LCM) of 6188 and 6196 is 9585212.
LCM(6188,6196) = 9585212
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 6188 and 6196. First we will calculate the prime factors of 6188 and 6196.
Prime Factorization of 6188
2 | 6188 |
2 | 3094 |
7 | 1547 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 6188 are 2, 7, 13,17. Prime factorization of 6188 in exponential form is:
6188 = 22×71×131×171
Prime Factorization of 6196
2 | 6196 |
2 | 3098 |
1549 | 1549 |
1 |
Prime factors of 6196 are 2,1549. Prime factorization of 6196 in exponential form is:
6196 = 22×15491
Now multiplying the highest exponent prime factors to calculate the LCM of 6188 and 6196.
LCM(6188,6196) = 22×71×131×171×15491
LCM(6188,6196) = 9585212
Factors of 6188
List of positive integer factors of 6188 that divides 6188 without a remainder.
1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188
Factors of 6196
List of positive integer factors of 6196 that divides 6196 without a remainder.
1, 2, 4, 1549, 3098, 6196
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6188 and 6196, than apply into the LCM equation.
GCF(6188,6196) = 4
LCM(6188,6196) = ( 6188 × 6196) / 4
LCM(6188,6196) = 38340848 / 4
LCM(6188,6196) = 9585212
(i) The LCM of 6196 and 6188 is associative
LCM of 6188 and 6196 = LCM of 6196 and 6188
1. What is the LCM of 6188 and 6196?
Answer: LCM of 6188 and 6196 is 9585212.
2. What are the Factors of 6188?
Answer: Factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188. There are 24 integers that are factors of 6188. The greatest factor of 6188 is 6188.
3. What are the Factors of 6196?
Answer: Factors of 6196 are 1, 2, 4, 1549, 3098, 6196. There are 6 integers that are factors of 6196. The greatest factor of 6196 is 6196.
4. How to Find the LCM of 6188 and 6196?
Answer:
Least Common Multiple of 6188 and 6196 = 9585212
Step 1: Find the prime factorization of 6188
6188 = 2 x 2 x 7 x 13 x 17
Step 2: Find the prime factorization of 6196
6196 = 2 x 2 x 1549
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9585212 = 2 x 2 x 7 x 13 x 17 x 1549
Step 4: Therefore, the least common multiple of 6188 and 6196 is 9585212.