Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6596 and 6604 the smallest integer that is 10889996 that is divisible by both numbers.
Least Common Multiple (LCM) of 6596 and 6604 is 10889996.
LCM(6596,6604) = 10889996
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 6596 and 6604. First we will calculate the prime factors of 6596 and 6604.
Prime Factorization of 6596
2 | 6596 |
2 | 3298 |
17 | 1649 |
97 | 97 |
1 |
Prime factors of 6596 are 2, 17,97. Prime factorization of 6596 in exponential form is:
6596 = 22×171×971
Prime Factorization of 6604
2 | 6604 |
2 | 3302 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 6604 are 2, 13,127. Prime factorization of 6604 in exponential form is:
6604 = 22×131×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 6596 and 6604.
LCM(6596,6604) = 22×131×171×971×1271
LCM(6596,6604) = 10889996
Factors of 6596
List of positive integer factors of 6596 that divides 6596 without a remainder.
1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596
Factors of 6604
List of positive integer factors of 6604 that divides 6604 without a remainder.
1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6596 and 6604, than apply into the LCM equation.
GCF(6596,6604) = 4
LCM(6596,6604) = ( 6596 × 6604) / 4
LCM(6596,6604) = 43559984 / 4
LCM(6596,6604) = 10889996
(i) The LCM of 6604 and 6596 is associative
LCM of 6596 and 6604 = LCM of 6604 and 6596
1. What is the LCM of 6596 and 6604?
Answer: LCM of 6596 and 6604 is 10889996.
2. What are the Factors of 6596?
Answer: Factors of 6596 are 1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596. There are 12 integers that are factors of 6596. The greatest factor of 6596 is 6596.
3. What are the Factors of 6604?
Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.
4. How to Find the LCM of 6596 and 6604?
Answer:
Least Common Multiple of 6596 and 6604 = 10889996
Step 1: Find the prime factorization of 6596
6596 = 2 x 2 x 17 x 97
Step 2: Find the prime factorization of 6604
6604 = 2 x 2 x 13 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10889996 = 2 x 2 x 13 x 17 x 97 x 127
Step 4: Therefore, the least common multiple of 6596 and 6604 is 10889996.