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 6603 the smallest integer that is 43553388 that is divisible by both numbers.
Least Common Multiple (LCM) of 6596 and 6603 is 43553388.
LCM(6596,6603) = 43553388
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 6603. First we will calculate the prime factors of 6596 and 6603.
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 6603
3 | 6603 |
31 | 2201 |
71 | 71 |
1 |
Prime factors of 6603 are 3, 31,71. Prime factorization of 6603 in exponential form is:
6603 = 31×311×711
Now multiplying the highest exponent prime factors to calculate the LCM of 6596 and 6603.
LCM(6596,6603) = 22×31×171×311×711×971
LCM(6596,6603) = 43553388
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 6603
List of positive integer factors of 6603 that divides 6603 without a remainder.
1, 3, 31, 71, 93, 213, 2201, 6603
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6596 and 6603, than apply into the LCM equation.
GCF(6596,6603) = 1
LCM(6596,6603) = ( 6596 × 6603) / 1
LCM(6596,6603) = 43553388 / 1
LCM(6596,6603) = 43553388
(i) The LCM of 6603 and 6596 is associative
LCM of 6596 and 6603 = LCM of 6603 and 6596
1. What is the LCM of 6596 and 6603?
Answer: LCM of 6596 and 6603 is 43553388.
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 6603?
Answer: Factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603. There are 8 integers that are factors of 6603. The greatest factor of 6603 is 6603.
4. How to Find the LCM of 6596 and 6603?
Answer:
Least Common Multiple of 6596 and 6603 = 43553388
Step 1: Find the prime factorization of 6596
6596 = 2 x 2 x 17 x 97
Step 2: Find the prime factorization of 6603
6603 = 3 x 31 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43553388 = 2 x 2 x 3 x 17 x 31 x 71 x 97
Step 4: Therefore, the least common multiple of 6596 and 6603 is 43553388.