Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2600 and 2607 the smallest integer that is 6778200 that is divisible by both numbers.
Least Common Multiple (LCM) of 2600 and 2607 is 6778200.
LCM(2600,2607) = 6778200
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 2600 and 2607. First we will calculate the prime factors of 2600 and 2607.
Prime Factorization of 2600
2 | 2600 |
2 | 1300 |
2 | 650 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 2600 are 2, 5,13. Prime factorization of 2600 in exponential form is:
2600 = 23×52×131
Prime Factorization of 2607
3 | 2607 |
11 | 869 |
79 | 79 |
1 |
Prime factors of 2607 are 3, 11,79. Prime factorization of 2607 in exponential form is:
2607 = 31×111×791
Now multiplying the highest exponent prime factors to calculate the LCM of 2600 and 2607.
LCM(2600,2607) = 23×31×52×111×131×791
LCM(2600,2607) = 6778200
Factors of 2600
List of positive integer factors of 2600 that divides 2600 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600
Factors of 2607
List of positive integer factors of 2607 that divides 2607 without a remainder.
1, 3, 11, 33, 79, 237, 869, 2607
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2600 and 2607, than apply into the LCM equation.
GCF(2600,2607) = 1
LCM(2600,2607) = ( 2600 × 2607) / 1
LCM(2600,2607) = 6778200 / 1
LCM(2600,2607) = 6778200
(i) The LCM of 2607 and 2600 is associative
LCM of 2600 and 2607 = LCM of 2607 and 2600
1. What is the LCM of 2600 and 2607?
Answer: LCM of 2600 and 2607 is 6778200.
2. What are the Factors of 2600?
Answer: Factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600. There are 24 integers that are factors of 2600. The greatest factor of 2600 is 2600.
3. What are the Factors of 2607?
Answer: Factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607. There are 8 integers that are factors of 2607. The greatest factor of 2607 is 2607.
4. How to Find the LCM of 2600 and 2607?
Answer:
Least Common Multiple of 2600 and 2607 = 6778200
Step 1: Find the prime factorization of 2600
2600 = 2 x 2 x 2 x 5 x 5 x 13
Step 2: Find the prime factorization of 2607
2607 = 3 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6778200 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 13 x 79
Step 4: Therefore, the least common multiple of 2600 and 2607 is 6778200.