Least Common Multiple of 2505 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 2505 and 2512 the smallest integer that is 6292560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2505 and 2512 is 6292560.

LCM(2505,2512) = 6292560

LCM of 2505 and 2512

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

LCM of:
and

Least Common Multiple of 2505 and 2512

LCM of 2505 and 2512 is 6292560

Least common multiple can be found by multiplying the highest exponent prime factors of 2505 and 2512. First we will calculate the prime factors of 2505 and 2512.

Prime Factorization of 2505


3 2505
5 835
167 167
1

Prime factors of 2505 are 3, 5,167. Prime factorization of 2505 in exponential form is:

2505 = 31×51×1671

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 2505 and 2512.

LCM(2505,2512) = 24×31×51×1571×1671
LCM(2505,2512) = 6292560

Factors of 2505

List of positive integer factors of 2505 that divides 2505 without a remainder.

1, 3, 5, 15, 167, 501, 835, 2505

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 2505 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 2505 and 2512, than apply into the LCM equation.

GCF(2505,2512) = 1
LCM(2505,2512) = ( 2505 × 2512) / 1
LCM(2505,2512) = 6292560 / 1
LCM(2505,2512) = 6292560

Properties of LCM 2505 and 2512

(i) The LCM of 2512 and 2505 is associative

LCM of 2505 and 2512 = LCM of 2512 and 2505

Related Least Common Multiples of 2505

Related Least Common Multiples of 2512

Frequently Asked Questions on LCM of 2505 and 2512

1. What is the LCM of 2505 and 2512?

Answer: LCM of 2505 and 2512 is 6292560.

2. What are the Factors of 2505?

Answer: Factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505. There are 8 integers that are factors of 2505. The greatest factor of 2505 is 2505.

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 2505 and 2512?

Answer:

Least Common Multiple of 2505 and 2512 = 6292560

Step 1: Find the prime factorization of 2505

2505 = 3 x 5 x 167

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 = 6292560 = 2 x 2 x 2 x 2 x 3 x 5 x 157 x 167

Step 4: Therefore, the least common multiple of 2505 and 2512 is 6292560.