Least Common Multiple of 2496 and 2497

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 2497 the smallest integer that is 6232512 that is divisible by both numbers.

Least Common Multiple (LCM) of 2496 and 2497 is 6232512.

LCM(2496,2497) = 6232512

LCM of 2496 and 2497

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

LCM of:
and

Least Common Multiple of 2496 and 2497

LCM of 2496 and 2497 is 6232512

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2497. First we will calculate the prime factors of 2496 and 2497.

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 2497


11 2497
227 227
1

Prime factors of 2497 are 11,227. Prime factorization of 2497 in exponential form is:

2497 = 111×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2497.

LCM(2496,2497) = 26×31×111×131×2271
LCM(2496,2497) = 6232512

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 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1, 11, 227, 2497

Least Common Multiple of 2496 and 2497 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 2497, than apply into the LCM equation.

GCF(2496,2497) = 1
LCM(2496,2497) = ( 2496 × 2497) / 1
LCM(2496,2497) = 6232512 / 1
LCM(2496,2497) = 6232512

Properties of LCM 2496 and 2497

(i) The LCM of 2497 and 2496 is associative

LCM of 2496 and 2497 = LCM of 2497 and 2496

Related Least Common Multiples of 2496

Related Least Common Multiples of 2497

Frequently Asked Questions on LCM of 2496 and 2497

1. What is the LCM of 2496 and 2497?

Answer: LCM of 2496 and 2497 is 6232512.

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 2497?

Answer: Factors of 2497 are 1, 11, 227, 2497. There are 4 integers that are factors of 2497. The greatest factor of 2497 is 2497.

4. How to Find the LCM of 2496 and 2497?

Answer:

Least Common Multiple of 2496 and 2497 = 6232512

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 2497

2497 = 11 x 227

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

LCM = 6232512 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 227

Step 4: Therefore, the least common multiple of 2496 and 2497 is 6232512.