Least Common Multiple of 2496 and 2502

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 2502 the smallest integer that is 1040832 that is divisible by both numbers.

Least Common Multiple (LCM) of 2496 and 2502 is 1040832.

LCM(2496,2502) = 1040832

LCM of 2496 and 2502

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

LCM of:
and

Least Common Multiple of 2496 and 2502

LCM of 2496 and 2502 is 1040832

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2502. First we will calculate the prime factors of 2496 and 2502.

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 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2, 3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2502.

LCM(2496,2502) = 26×32×131×1391
LCM(2496,2502) = 1040832

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 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502

Least Common Multiple of 2496 and 2502 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 2502, than apply into the LCM equation.

GCF(2496,2502) = 6
LCM(2496,2502) = ( 2496 × 2502) / 6
LCM(2496,2502) = 6244992 / 6
LCM(2496,2502) = 1040832

Properties of LCM 2496 and 2502

(i) The LCM of 2502 and 2496 is associative

LCM of 2496 and 2502 = LCM of 2502 and 2496

Related Least Common Multiples of 2496

Related Least Common Multiples of 2502

Frequently Asked Questions on LCM of 2496 and 2502

1. What is the LCM of 2496 and 2502?

Answer: LCM of 2496 and 2502 is 1040832.

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 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

4. How to Find the LCM of 2496 and 2502?

Answer:

Least Common Multiple of 2496 and 2502 = 1040832

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 2502

2502 = 2 x 3 x 3 x 139

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

LCM = 1040832 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 139

Step 4: Therefore, the least common multiple of 2496 and 2502 is 1040832.