Least Common Multiple of 2600 and 2607

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

LCM of 2600 and 2607

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2600 and 2607

LCM of 2600 and 2607 is 6778200

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

Least Common Multiple of 2600 and 2607 with GCF Formula

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

Properties of LCM 2600 and 2607

(i) The LCM of 2607 and 2600 is associative

LCM of 2600 and 2607 = LCM of 2607 and 2600

Related Least Common Multiples of 2600

Related Least Common Multiples of 2607

Frequently Asked Questions on LCM of 2600 and 2607

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.