Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6196 and 6204 the smallest integer that is 9609996 that is divisible by both numbers.
Least Common Multiple (LCM) of 6196 and 6204 is 9609996.
LCM(6196,6204) = 9609996
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 6196 and 6204. First we will calculate the prime factors of 6196 and 6204.
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
Prime Factorization of 6204
2 | 6204 |
2 | 3102 |
3 | 1551 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 6204 are 2, 3, 11,47. Prime factorization of 6204 in exponential form is:
6204 = 22×31×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6196 and 6204.
LCM(6196,6204) = 22×31×111×471×15491
LCM(6196,6204) = 9609996
Factors of 6196
List of positive integer factors of 6196 that divides 6196 without a remainder.
1, 2, 4, 1549, 3098, 6196
Factors of 6204
List of positive integer factors of 6204 that divides 6204 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6196 and 6204, than apply into the LCM equation.
GCF(6196,6204) = 4
LCM(6196,6204) = ( 6196 × 6204) / 4
LCM(6196,6204) = 38439984 / 4
LCM(6196,6204) = 9609996
(i) The LCM of 6204 and 6196 is associative
LCM of 6196 and 6204 = LCM of 6204 and 6196
1. What is the LCM of 6196 and 6204?
Answer: LCM of 6196 and 6204 is 9609996.
2. 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.
3. What are the Factors of 6204?
Answer: Factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204. There are 24 integers that are factors of 6204. The greatest factor of 6204 is 6204.
4. How to Find the LCM of 6196 and 6204?
Answer:
Least Common Multiple of 6196 and 6204 = 9609996
Step 1: Find the prime factorization of 6196
6196 = 2 x 2 x 1549
Step 2: Find the prime factorization of 6204
6204 = 2 x 2 x 3 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9609996 = 2 x 2 x 3 x 11 x 47 x 1549
Step 4: Therefore, the least common multiple of 6196 and 6204 is 9609996.