Least Common Multiple of 2507 and 2512

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 2512 the smallest integer that is 6297584 that is divisible by both numbers.

Least Common Multiple (LCM) of 2507 and 2512 is 6297584.

LCM(2507,2512) = 6297584

LCM of 2507 and 2512

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

LCM of:
and

Least Common Multiple of 2507 and 2512

LCM of 2507 and 2512 is 6297584

Least common multiple can be found by multiplying the highest exponent prime factors of 2507 and 2512. First we will calculate the prime factors of 2507 and 2512.

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 2512


2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 2512 are 2,157. Prime factorization of 2512 in exponential form is:

2512 = 24×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 2507 and 2512.

LCM(2507,2512) = 24×231×1091×1571
LCM(2507,2512) = 6297584

Factors of 2507

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

1, 23, 109, 2507

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512

Least Common Multiple of 2507 and 2512 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 2512, than apply into the LCM equation.

GCF(2507,2512) = 1
LCM(2507,2512) = ( 2507 × 2512) / 1
LCM(2507,2512) = 6297584 / 1
LCM(2507,2512) = 6297584

Properties of LCM 2507 and 2512

(i) The LCM of 2512 and 2507 is associative

LCM of 2507 and 2512 = LCM of 2512 and 2507

Related Least Common Multiples of 2507

Related Least Common Multiples of 2512

Frequently Asked Questions on LCM of 2507 and 2512

1. What is the LCM of 2507 and 2512?

Answer: LCM of 2507 and 2512 is 6297584.

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 2512?

Answer: Factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512. There are 10 integers that are factors of 2512. The greatest factor of 2512 is 2512.

4. How to Find the LCM of 2507 and 2512?

Answer:

Least Common Multiple of 2507 and 2512 = 6297584

Step 1: Find the prime factorization of 2507

2507 = 23 x 109

Step 2: Find the prime factorization of 2512

2512 = 2 x 2 x 2 x 2 x 157

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6297584 = 2 x 2 x 2 x 2 x 23 x 109 x 157

Step 4: Therefore, the least common multiple of 2507 and 2512 is 6297584.