Least Common Multiple of 2501 and 2506

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 2506 the smallest integer that is 6267506 that is divisible by both numbers.

Least Common Multiple (LCM) of 2501 and 2506 is 6267506.

LCM(2501,2506) = 6267506

LCM of 2501 and 2506

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

LCM of:
and

Least Common Multiple of 2501 and 2506

LCM of 2501 and 2506 is 6267506

Least common multiple can be found by multiplying the highest exponent prime factors of 2501 and 2506. First we will calculate the prime factors of 2501 and 2506.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2501 and 2506.

LCM(2501,2506) = 21×71×411×611×1791
LCM(2501,2506) = 6267506

Factors of 2501

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

1, 41, 61, 2501

Factors of 2506

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

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

Least Common Multiple of 2501 and 2506 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 2506, than apply into the LCM equation.

GCF(2501,2506) = 1
LCM(2501,2506) = ( 2501 × 2506) / 1
LCM(2501,2506) = 6267506 / 1
LCM(2501,2506) = 6267506

Properties of LCM 2501 and 2506

(i) The LCM of 2506 and 2501 is associative

LCM of 2501 and 2506 = LCM of 2506 and 2501

Related Least Common Multiples of 2501

Related Least Common Multiples of 2506

Frequently Asked Questions on LCM of 2501 and 2506

1. What is the LCM of 2501 and 2506?

Answer: LCM of 2501 and 2506 is 6267506.

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 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.

4. How to Find the LCM of 2501 and 2506?

Answer:

Least Common Multiple of 2501 and 2506 = 6267506

Step 1: Find the prime factorization of 2501

2501 = 41 x 61

Step 2: Find the prime factorization of 2506

2506 = 2 x 7 x 179

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

LCM = 6267506 = 2 x 7 x 41 x 61 x 179

Step 4: Therefore, the least common multiple of 2501 and 2506 is 6267506.