Least Common Multiple of 2489 and 2496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2489 and 2496 the smallest integer that is 6212544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2489 and 2496 is 6212544.

LCM(2489,2496) = 6212544

LCM of 2489 and 2496

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

LCM of:
and

Least Common Multiple of 2489 and 2496

LCM of 2489 and 2496 is 6212544

Least common multiple can be found by multiplying the highest exponent prime factors of 2489 and 2496. First we will calculate the prime factors of 2489 and 2496.

Prime Factorization of 2489


19 2489
131 131
1

Prime factors of 2489 are 19,131. Prime factorization of 2489 in exponential form is:

2489 = 191×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2489 and 2496.

LCM(2489,2496) = 26×31×131×191×1311
LCM(2489,2496) = 6212544

Factors of 2489

List of positive integer factors of 2489 that divides 2489 without a remainder.

1, 19, 131, 2489

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

Least Common Multiple of 2489 and 2496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2489 and 2496, than apply into the LCM equation.

GCF(2489,2496) = 1
LCM(2489,2496) = ( 2489 × 2496) / 1
LCM(2489,2496) = 6212544 / 1
LCM(2489,2496) = 6212544

Properties of LCM 2489 and 2496

(i) The LCM of 2496 and 2489 is associative

LCM of 2489 and 2496 = LCM of 2496 and 2489

Related Least Common Multiples of 2489

Related Least Common Multiples of 2496

Frequently Asked Questions on LCM of 2489 and 2496

1. What is the LCM of 2489 and 2496?

Answer: LCM of 2489 and 2496 is 6212544.

2. What are the Factors of 2489?

Answer: Factors of 2489 are 1, 19, 131, 2489. There are 4 integers that are factors of 2489. The greatest factor of 2489 is 2489.

3. 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.

4. How to Find the LCM of 2489 and 2496?

Answer:

Least Common Multiple of 2489 and 2496 = 6212544

Step 1: Find the prime factorization of 2489

2489 = 19 x 131

Step 2: Find the prime factorization of 2496

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

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

LCM = 6212544 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 x 131

Step 4: Therefore, the least common multiple of 2489 and 2496 is 6212544.