Least Common Multiple of 2501 and 2508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2501 and 2508 the smallest integer that is 6272508 that is divisible by both numbers.

Least Common Multiple (LCM) of 2501 and 2508 is 6272508.

LCM(2501,2508) = 6272508

LCM of 2501 and 2508

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

LCM of:
and

Least Common Multiple of 2501 and 2508

LCM of 2501 and 2508 is 6272508

Least common multiple can be found by multiplying the highest exponent prime factors of 2501 and 2508. First we will calculate the prime factors of 2501 and 2508.

Prime Factorization of 2501


41 2501
61 61
1

Prime factors of 2501 are 41,61. Prime factorization of 2501 in exponential form is:

2501 = 411×611

Prime Factorization of 2508


2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 2508 are 2, 3, 11,19. Prime factorization of 2508 in exponential form is:

2508 = 22×31×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2501 and 2508.

LCM(2501,2508) = 22×31×111×191×411×611
LCM(2501,2508) = 6272508

Factors of 2501

List of positive integer factors of 2501 that divides 2501 without a remainder.

1, 41, 61, 2501

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508

Least Common Multiple of 2501 and 2508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2501 and 2508, than apply into the LCM equation.

GCF(2501,2508) = 1
LCM(2501,2508) = ( 2501 × 2508) / 1
LCM(2501,2508) = 6272508 / 1
LCM(2501,2508) = 6272508

Properties of LCM 2501 and 2508

(i) The LCM of 2508 and 2501 is associative

LCM of 2501 and 2508 = LCM of 2508 and 2501

Related Least Common Multiples of 2501

Related Least Common Multiples of 2508

Frequently Asked Questions on LCM of 2501 and 2508

1. What is the LCM of 2501 and 2508?

Answer: LCM of 2501 and 2508 is 6272508.

2. What are the Factors of 2501?

Answer: Factors of 2501 are 1, 41, 61, 2501. There are 4 integers that are factors of 2501. The greatest factor of 2501 is 2501.

3. What are the Factors of 2508?

Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.

4. How to Find the LCM of 2501 and 2508?

Answer:

Least Common Multiple of 2501 and 2508 = 6272508

Step 1: Find the prime factorization of 2501

2501 = 41 x 61

Step 2: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

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

LCM = 6272508 = 2 x 2 x 3 x 11 x 19 x 41 x 61

Step 4: Therefore, the least common multiple of 2501 and 2508 is 6272508.