Least Common Multiple of 8490 and 8491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8490 and 8491 the smallest integer that is 72088590 that is divisible by both numbers.

Least Common Multiple (LCM) of 8490 and 8491 is 72088590.

LCM(8490,8491) = 72088590

LCM of 8490 and 8491

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

LCM of:
and

Least Common Multiple of 8490 and 8491

LCM of 8490 and 8491 is 72088590

Least common multiple can be found by multiplying the highest exponent prime factors of 8490 and 8491. First we will calculate the prime factors of 8490 and 8491.

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

Prime Factorization of 8491


7 8491
1213 1213
1

Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:

8491 = 71×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 8490 and 8491.

LCM(8490,8491) = 21×31×51×71×2831×12131
LCM(8490,8491) = 72088590

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

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1, 7, 1213, 8491

Least Common Multiple of 8490 and 8491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8490 and 8491, than apply into the LCM equation.

GCF(8490,8491) = 1
LCM(8490,8491) = ( 8490 × 8491) / 1
LCM(8490,8491) = 72088590 / 1
LCM(8490,8491) = 72088590

Properties of LCM 8490 and 8491

(i) The LCM of 8491 and 8490 is associative

LCM of 8490 and 8491 = LCM of 8491 and 8490

Related Least Common Multiples of 8490

Related Least Common Multiples of 8491

Frequently Asked Questions on LCM of 8490 and 8491

1. What is the LCM of 8490 and 8491?

Answer: LCM of 8490 and 8491 is 72088590.

2. 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.

3. What are the Factors of 8491?

Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.

4. How to Find the LCM of 8490 and 8491?

Answer:

Least Common Multiple of 8490 and 8491 = 72088590

Step 1: Find the prime factorization of 8490

8490 = 2 x 3 x 5 x 283

Step 2: Find the prime factorization of 8491

8491 = 7 x 1213

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

LCM = 72088590 = 2 x 3 x 5 x 7 x 283 x 1213

Step 4: Therefore, the least common multiple of 8490 and 8491 is 72088590.