Least Common Multiple of 2506 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 2506 and 2512 the smallest integer that is 3147536 that is divisible by both numbers.

Least Common Multiple (LCM) of 2506 and 2512 is 3147536.

LCM(2506,2512) = 3147536

LCM of 2506 and 2512

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

LCM of:
and

Least Common Multiple of 2506 and 2512

LCM of 2506 and 2512 is 3147536

Least common multiple can be found by multiplying the highest exponent prime factors of 2506 and 2512. First we will calculate the prime factors of 2506 and 2512.

Prime Factorization of 2506


2 2506
7 1253
179 179
1

Prime factors of 2506 are 2, 7,179. Prime factorization of 2506 in exponential form is:

2506 = 21×71×1791

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 2506 and 2512.

LCM(2506,2512) = 24×71×1571×1791
LCM(2506,2512) = 3147536

Factors of 2506

List of positive integer factors of 2506 that divides 2506 without a remainder.

1, 2, 7, 14, 179, 358, 1253, 2506

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 2506 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 2506 and 2512, than apply into the LCM equation.

GCF(2506,2512) = 2
LCM(2506,2512) = ( 2506 × 2512) / 2
LCM(2506,2512) = 6295072 / 2
LCM(2506,2512) = 3147536

Properties of LCM 2506 and 2512

(i) The LCM of 2512 and 2506 is associative

LCM of 2506 and 2512 = LCM of 2512 and 2506

Related Least Common Multiples of 2506

Related Least Common Multiples of 2512

Frequently Asked Questions on LCM of 2506 and 2512

1. What is the LCM of 2506 and 2512?

Answer: LCM of 2506 and 2512 is 3147536.

2. What are the Factors of 2506?

Answer: Factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506. There are 8 integers that are factors of 2506. The greatest factor of 2506 is 2506.

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 2506 and 2512?

Answer:

Least Common Multiple of 2506 and 2512 = 3147536

Step 1: Find the prime factorization of 2506

2506 = 2 x 7 x 179

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 = 3147536 = 2 x 2 x 2 x 2 x 7 x 157 x 179

Step 4: Therefore, the least common multiple of 2506 and 2512 is 3147536.