Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2601 and 2604 the smallest integer that is 2257668 that is divisible by both numbers.
Least Common Multiple (LCM) of 2601 and 2604 is 2257668.
LCM(2601,2604) = 2257668
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 2601 and 2604. First we will calculate the prime factors of 2601 and 2604.
Prime Factorization of 2601
3 | 2601 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 2601 are 3,17. Prime factorization of 2601 in exponential form is:
2601 = 32×172
Prime Factorization of 2604
2 | 2604 |
2 | 1302 |
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 2604 are 2, 3, 7,31. Prime factorization of 2604 in exponential form is:
2604 = 22×31×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2601 and 2604.
LCM(2601,2604) = 22×32×71×172×311
LCM(2601,2604) = 2257668
Factors of 2601
List of positive integer factors of 2601 that divides 2601 without a remainder.
1, 3, 9, 17, 51, 153, 289, 867, 2601
Factors of 2604
List of positive integer factors of 2604 that divides 2604 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2601 and 2604, than apply into the LCM equation.
GCF(2601,2604) = 3
LCM(2601,2604) = ( 2601 × 2604) / 3
LCM(2601,2604) = 6773004 / 3
LCM(2601,2604) = 2257668
(i) The LCM of 2604 and 2601 is associative
LCM of 2601 and 2604 = LCM of 2604 and 2601
1. What is the LCM of 2601 and 2604?
Answer: LCM of 2601 and 2604 is 2257668.
2. What are the Factors of 2601?
Answer: Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601. There are 9 integers that are factors of 2601. The greatest factor of 2601 is 2601.
3. What are the Factors of 2604?
Answer: Factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604. There are 24 integers that are factors of 2604. The greatest factor of 2604 is 2604.
4. How to Find the LCM of 2601 and 2604?
Answer:
Least Common Multiple of 2601 and 2604 = 2257668
Step 1: Find the prime factorization of 2601
2601 = 3 x 3 x 17 x 17
Step 2: Find the prime factorization of 2604
2604 = 2 x 2 x 3 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2257668 = 2 x 2 x 3 x 3 x 7 x 17 x 17 x 31
Step 4: Therefore, the least common multiple of 2601 and 2604 is 2257668.