Least Common Multiple of 2489 and 2490

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 2490 the smallest integer that is 6197610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2489 and 2490 is 6197610.

LCM(2489,2490) = 6197610

LCM of 2489 and 2490

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

LCM of:
and

Least Common Multiple of 2489 and 2490

LCM of 2489 and 2490 is 6197610

Least common multiple can be found by multiplying the highest exponent prime factors of 2489 and 2490. First we will calculate the prime factors of 2489 and 2490.

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 2490


2 2490
3 1245
5 415
83 83
1

Prime factors of 2490 are 2, 3, 5,83. Prime factorization of 2490 in exponential form is:

2490 = 21×31×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2489 and 2490.

LCM(2489,2490) = 21×31×51×191×831×1311
LCM(2489,2490) = 6197610

Factors of 2489

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

1, 19, 131, 2489

Factors of 2490

List of positive integer factors of 2490 that divides 2490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490

Least Common Multiple of 2489 and 2490 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 2490, than apply into the LCM equation.

GCF(2489,2490) = 1
LCM(2489,2490) = ( 2489 × 2490) / 1
LCM(2489,2490) = 6197610 / 1
LCM(2489,2490) = 6197610

Properties of LCM 2489 and 2490

(i) The LCM of 2490 and 2489 is associative

LCM of 2489 and 2490 = LCM of 2490 and 2489

Related Least Common Multiples of 2489

Related Least Common Multiples of 2490

Frequently Asked Questions on LCM of 2489 and 2490

1. What is the LCM of 2489 and 2490?

Answer: LCM of 2489 and 2490 is 6197610.

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 2490?

Answer: Factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490. There are 16 integers that are factors of 2490. The greatest factor of 2490 is 2490.

4. How to Find the LCM of 2489 and 2490?

Answer:

Least Common Multiple of 2489 and 2490 = 6197610

Step 1: Find the prime factorization of 2489

2489 = 19 x 131

Step 2: Find the prime factorization of 2490

2490 = 2 x 3 x 5 x 83

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

LCM = 6197610 = 2 x 3 x 5 x 19 x 83 x 131

Step 4: Therefore, the least common multiple of 2489 and 2490 is 6197610.