Least Common Multiple of 8486 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 8486 and 8491 the smallest integer that is 72054626 that is divisible by both numbers.

Least Common Multiple (LCM) of 8486 and 8491 is 72054626.

LCM(8486,8491) = 72054626

LCM of 8486 and 8491

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

LCM of:
and

Least Common Multiple of 8486 and 8491

LCM of 8486 and 8491 is 72054626

Least common multiple can be found by multiplying the highest exponent prime factors of 8486 and 8491. First we will calculate the prime factors of 8486 and 8491.

Prime Factorization of 8486


2 8486
4243 4243
1

Prime factors of 8486 are 2,4243. Prime factorization of 8486 in exponential form is:

8486 = 21×42431

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 8486 and 8491.

LCM(8486,8491) = 21×71×12131×42431
LCM(8486,8491) = 72054626

Factors of 8486

List of positive integer factors of 8486 that divides 8486 without a remainder.

1, 2, 4243, 8486

Factors of 8491

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

1, 7, 1213, 8491

Least Common Multiple of 8486 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 8486 and 8491, than apply into the LCM equation.

GCF(8486,8491) = 1
LCM(8486,8491) = ( 8486 × 8491) / 1
LCM(8486,8491) = 72054626 / 1
LCM(8486,8491) = 72054626

Properties of LCM 8486 and 8491

(i) The LCM of 8491 and 8486 is associative

LCM of 8486 and 8491 = LCM of 8491 and 8486

Frequently Asked Questions on LCM of 8486 and 8491

1. What is the LCM of 8486 and 8491?

Answer: LCM of 8486 and 8491 is 72054626.

2. What are the Factors of 8486?

Answer: Factors of 8486 are 1, 2, 4243, 8486. There are 4 integers that are factors of 8486. The greatest factor of 8486 is 8486.

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 8486 and 8491?

Answer:

Least Common Multiple of 8486 and 8491 = 72054626

Step 1: Find the prime factorization of 8486

8486 = 2 x 4243

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 = 72054626 = 2 x 7 x 1213 x 4243

Step 4: Therefore, the least common multiple of 8486 and 8491 is 72054626.