Least Common Multiple of 2496 and 2501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2496 and 2501 the smallest integer that is 6242496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2496 and 2501 is 6242496.

LCM(2496,2501) = 6242496

LCM of 2496 and 2501

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

LCM of:
and

Least Common Multiple of 2496 and 2501

LCM of 2496 and 2501 is 6242496

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2501. First we will calculate the prime factors of 2496 and 2501.

Prime Factorization of 2496


2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 2496 are 2, 3,13. Prime factorization of 2496 in exponential form is:

2496 = 26×31×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2501.

LCM(2496,2501) = 26×31×131×411×611
LCM(2496,2501) = 6242496

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496

Factors of 2501

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

1, 41, 61, 2501

Least Common Multiple of 2496 and 2501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2496 and 2501, than apply into the LCM equation.

GCF(2496,2501) = 1
LCM(2496,2501) = ( 2496 × 2501) / 1
LCM(2496,2501) = 6242496 / 1
LCM(2496,2501) = 6242496

Properties of LCM 2496 and 2501

(i) The LCM of 2501 and 2496 is associative

LCM of 2496 and 2501 = LCM of 2501 and 2496

Related Least Common Multiples of 2496

Related Least Common Multiples of 2501

Frequently Asked Questions on LCM of 2496 and 2501

1. What is the LCM of 2496 and 2501?

Answer: LCM of 2496 and 2501 is 6242496.

2. What are the Factors of 2496?

Answer: Factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496. There are 28 integers that are factors of 2496. The greatest factor of 2496 is 2496.

3. 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.

4. How to Find the LCM of 2496 and 2501?

Answer:

Least Common Multiple of 2496 and 2501 = 6242496

Step 1: Find the prime factorization of 2496

2496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 2501

2501 = 41 x 61

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

LCM = 6242496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 41 x 61

Step 4: Therefore, the least common multiple of 2496 and 2501 is 6242496.