Least Common Multiple of 2489 and 2493

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 2493 the smallest integer that is 6205077 that is divisible by both numbers.

Least Common Multiple (LCM) of 2489 and 2493 is 6205077.

LCM(2489,2493) = 6205077

LCM of 2489 and 2493

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

LCM of:
and

Least Common Multiple of 2489 and 2493

LCM of 2489 and 2493 is 6205077

Least common multiple can be found by multiplying the highest exponent prime factors of 2489 and 2493. First we will calculate the prime factors of 2489 and 2493.

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 2493


3 2493
3 831
277 277
1

Prime factors of 2493 are 3,277. Prime factorization of 2493 in exponential form is:

2493 = 32×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 2489 and 2493.

LCM(2489,2493) = 32×191×1311×2771
LCM(2489,2493) = 6205077

Factors of 2489

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

1, 19, 131, 2489

Factors of 2493

List of positive integer factors of 2493 that divides 2493 without a remainder.

1, 3, 9, 277, 831, 2493

Least Common Multiple of 2489 and 2493 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 2493, than apply into the LCM equation.

GCF(2489,2493) = 1
LCM(2489,2493) = ( 2489 × 2493) / 1
LCM(2489,2493) = 6205077 / 1
LCM(2489,2493) = 6205077

Properties of LCM 2489 and 2493

(i) The LCM of 2493 and 2489 is associative

LCM of 2489 and 2493 = LCM of 2493 and 2489

Related Least Common Multiples of 2489

Related Least Common Multiples of 2493

Frequently Asked Questions on LCM of 2489 and 2493

1. What is the LCM of 2489 and 2493?

Answer: LCM of 2489 and 2493 is 6205077.

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 2493?

Answer: Factors of 2493 are 1, 3, 9, 277, 831, 2493. There are 6 integers that are factors of 2493. The greatest factor of 2493 is 2493.

4. How to Find the LCM of 2489 and 2493?

Answer:

Least Common Multiple of 2489 and 2493 = 6205077

Step 1: Find the prime factorization of 2489

2489 = 19 x 131

Step 2: Find the prime factorization of 2493

2493 = 3 x 3 x 277

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

LCM = 6205077 = 3 x 3 x 19 x 131 x 277

Step 4: Therefore, the least common multiple of 2489 and 2493 is 6205077.