Least Common Multiple of 2504 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 2504 and 2512 the smallest integer that is 786256 that is divisible by both numbers.

Least Common Multiple (LCM) of 2504 and 2512 is 786256.

LCM(2504,2512) = 786256

LCM of 2504 and 2512

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

LCM of:
and

Least Common Multiple of 2504 and 2512

LCM of 2504 and 2512 is 786256

Least common multiple can be found by multiplying the highest exponent prime factors of 2504 and 2512. First we will calculate the prime factors of 2504 and 2512.

Prime Factorization of 2504


2 2504
2 1252
2 626
313 313
1

Prime factors of 2504 are 2,313. Prime factorization of 2504 in exponential form is:

2504 = 23×3131

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 2504 and 2512.

LCM(2504,2512) = 24×1571×3131
LCM(2504,2512) = 786256

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1, 2, 4, 8, 313, 626, 1252, 2504

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 2504 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 2504 and 2512, than apply into the LCM equation.

GCF(2504,2512) = 8
LCM(2504,2512) = ( 2504 × 2512) / 8
LCM(2504,2512) = 6290048 / 8
LCM(2504,2512) = 786256

Properties of LCM 2504 and 2512

(i) The LCM of 2512 and 2504 is associative

LCM of 2504 and 2512 = LCM of 2512 and 2504

Related Least Common Multiples of 2504

Related Least Common Multiples of 2512

Frequently Asked Questions on LCM of 2504 and 2512

1. What is the LCM of 2504 and 2512?

Answer: LCM of 2504 and 2512 is 786256.

2. What are the Factors of 2504?

Answer: Factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504. There are 8 integers that are factors of 2504. The greatest factor of 2504 is 2504.

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 2504 and 2512?

Answer:

Least Common Multiple of 2504 and 2512 = 786256

Step 1: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

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 = 786256 = 2 x 2 x 2 x 2 x 157 x 313

Step 4: Therefore, the least common multiple of 2504 and 2512 is 786256.