Least Common Multiple of 8487 and 8490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8487 and 8490 the smallest integer that is 24018210 that is divisible by both numbers.

Least Common Multiple (LCM) of 8487 and 8490 is 24018210.

LCM(8487,8490) = 24018210

LCM of 8487 and 8490

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

LCM of:
and

Least Common Multiple of 8487 and 8490

LCM of 8487 and 8490 is 24018210

Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8490. First we will calculate the prime factors of 8487 and 8490.

Prime Factorization of 8487


3 8487
3 2829
23 943
41 41
1

Prime factors of 8487 are 3, 23,41. Prime factorization of 8487 in exponential form is:

8487 = 32×231×411

Prime Factorization of 8490


2 8490
3 4245
5 1415
283 283
1

Prime factors of 8490 are 2, 3, 5,283. Prime factorization of 8490 in exponential form is:

8490 = 21×31×51×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8490.

LCM(8487,8490) = 21×32×51×231×411×2831
LCM(8487,8490) = 24018210

Factors of 8487

List of positive integer factors of 8487 that divides 8487 without a remainder.

1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490

Least Common Multiple of 8487 and 8490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8487 and 8490, than apply into the LCM equation.

GCF(8487,8490) = 3
LCM(8487,8490) = ( 8487 × 8490) / 3
LCM(8487,8490) = 72054630 / 3
LCM(8487,8490) = 24018210

Properties of LCM 8487 and 8490

(i) The LCM of 8490 and 8487 is associative

LCM of 8487 and 8490 = LCM of 8490 and 8487

Related Least Common Multiples of 8487

Related Least Common Multiples of 8490

Frequently Asked Questions on LCM of 8487 and 8490

1. What is the LCM of 8487 and 8490?

Answer: LCM of 8487 and 8490 is 24018210.

2. What are the Factors of 8487?

Answer: Factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487. There are 12 integers that are factors of 8487. The greatest factor of 8487 is 8487.

3. What are the Factors of 8490?

Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.

4. How to Find the LCM of 8487 and 8490?

Answer:

Least Common Multiple of 8487 and 8490 = 24018210

Step 1: Find the prime factorization of 8487

8487 = 3 x 3 x 23 x 41

Step 2: Find the prime factorization of 8490

8490 = 2 x 3 x 5 x 283

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

LCM = 24018210 = 2 x 3 x 3 x 5 x 23 x 41 x 283

Step 4: Therefore, the least common multiple of 8487 and 8490 is 24018210.