Least Common Multiple of 2496 and 2499

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 2499 the smallest integer that is 2079168 that is divisible by both numbers.

Least Common Multiple (LCM) of 2496 and 2499 is 2079168.

LCM(2496,2499) = 2079168

LCM of 2496 and 2499

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

LCM of:
and

Least Common Multiple of 2496 and 2499

LCM of 2496 and 2499 is 2079168

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2499. First we will calculate the prime factors of 2496 and 2499.

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 2499


3 2499
7 833
7 119
17 17
1

Prime factors of 2499 are 3, 7,17. Prime factorization of 2499 in exponential form is:

2499 = 31×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2499.

LCM(2496,2499) = 26×31×72×131×171
LCM(2496,2499) = 2079168

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 2499

List of positive integer factors of 2499 that divides 2499 without a remainder.

1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499

Least Common Multiple of 2496 and 2499 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 2499, than apply into the LCM equation.

GCF(2496,2499) = 3
LCM(2496,2499) = ( 2496 × 2499) / 3
LCM(2496,2499) = 6237504 / 3
LCM(2496,2499) = 2079168

Properties of LCM 2496 and 2499

(i) The LCM of 2499 and 2496 is associative

LCM of 2496 and 2499 = LCM of 2499 and 2496

Related Least Common Multiples of 2496

Related Least Common Multiples of 2499

Frequently Asked Questions on LCM of 2496 and 2499

1. What is the LCM of 2496 and 2499?

Answer: LCM of 2496 and 2499 is 2079168.

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 2499?

Answer: Factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499. There are 12 integers that are factors of 2499. The greatest factor of 2499 is 2499.

4. How to Find the LCM of 2496 and 2499?

Answer:

Least Common Multiple of 2496 and 2499 = 2079168

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 2499

2499 = 3 x 7 x 7 x 17

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

LCM = 2079168 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 2496 and 2499 is 2079168.