Least Common Multiple of 2507 and 2511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2507 and 2511 the smallest integer that is 6295077 that is divisible by both numbers.

Least Common Multiple (LCM) of 2507 and 2511 is 6295077.

LCM(2507,2511) = 6295077

LCM of 2507 and 2511

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

LCM of:
and

Least Common Multiple of 2507 and 2511

LCM of 2507 and 2511 is 6295077

Least common multiple can be found by multiplying the highest exponent prime factors of 2507 and 2511. First we will calculate the prime factors of 2507 and 2511.

Prime Factorization of 2507


23 2507
109 109
1

Prime factors of 2507 are 23,109. Prime factorization of 2507 in exponential form is:

2507 = 231×1091

Prime Factorization of 2511


3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:

2511 = 34×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2507 and 2511.

LCM(2507,2511) = 34×231×311×1091
LCM(2507,2511) = 6295077

Factors of 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1, 23, 109, 2507

Factors of 2511

List of positive integer factors of 2511 that divides 2511 without a remainder.

1, 3, 9, 27, 31, 81, 93, 279, 837, 2511

Least Common Multiple of 2507 and 2511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2507 and 2511, than apply into the LCM equation.

GCF(2507,2511) = 1
LCM(2507,2511) = ( 2507 × 2511) / 1
LCM(2507,2511) = 6295077 / 1
LCM(2507,2511) = 6295077

Properties of LCM 2507 and 2511

(i) The LCM of 2511 and 2507 is associative

LCM of 2507 and 2511 = LCM of 2511 and 2507

Related Least Common Multiples of 2507

Related Least Common Multiples of 2511

Frequently Asked Questions on LCM of 2507 and 2511

1. What is the LCM of 2507 and 2511?

Answer: LCM of 2507 and 2511 is 6295077.

2. What are the Factors of 2507?

Answer: Factors of 2507 are 1, 23, 109, 2507. There are 4 integers that are factors of 2507. The greatest factor of 2507 is 2507.

3. What are the Factors of 2511?

Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.

4. How to Find the LCM of 2507 and 2511?

Answer:

Least Common Multiple of 2507 and 2511 = 6295077

Step 1: Find the prime factorization of 2507

2507 = 23 x 109

Step 2: Find the prime factorization of 2511

2511 = 3 x 3 x 3 x 3 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 = 6295077 = 3 x 3 x 3 x 3 x 23 x 31 x 109

Step 4: Therefore, the least common multiple of 2507 and 2511 is 6295077.