Least Common Multiple of 8476 and 8481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8476 and 8481 the smallest integer that is 71884956 that is divisible by both numbers.

Least Common Multiple (LCM) of 8476 and 8481 is 71884956.

LCM(8476,8481) = 71884956

LCM of 8476 and 8481

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

LCM of:
and

Least Common Multiple of 8476 and 8481

LCM of 8476 and 8481 is 71884956

Least common multiple can be found by multiplying the highest exponent prime factors of 8476 and 8481. First we will calculate the prime factors of 8476 and 8481.

Prime Factorization of 8476


2 8476
2 4238
13 2119
163 163
1

Prime factors of 8476 are 2, 13,163. Prime factorization of 8476 in exponential form is:

8476 = 22×131×1631

Prime Factorization of 8481


3 8481
11 2827
257 257
1

Prime factors of 8481 are 3, 11,257. Prime factorization of 8481 in exponential form is:

8481 = 31×111×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 8476 and 8481.

LCM(8476,8481) = 22×31×111×131×1631×2571
LCM(8476,8481) = 71884956

Factors of 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1, 3, 11, 33, 257, 771, 2827, 8481

Least Common Multiple of 8476 and 8481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8476 and 8481, than apply into the LCM equation.

GCF(8476,8481) = 1
LCM(8476,8481) = ( 8476 × 8481) / 1
LCM(8476,8481) = 71884956 / 1
LCM(8476,8481) = 71884956

Properties of LCM 8476 and 8481

(i) The LCM of 8481 and 8476 is associative

LCM of 8476 and 8481 = LCM of 8481 and 8476

Related Least Common Multiples of 8476

Related Least Common Multiples of 8481

Frequently Asked Questions on LCM of 8476 and 8481

1. What is the LCM of 8476 and 8481?

Answer: LCM of 8476 and 8481 is 71884956.

2. What are the Factors of 8476?

Answer: Factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476. There are 12 integers that are factors of 8476. The greatest factor of 8476 is 8476.

3. What are the Factors of 8481?

Answer: Factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481. There are 8 integers that are factors of 8481. The greatest factor of 8481 is 8481.

4. How to Find the LCM of 8476 and 8481?

Answer:

Least Common Multiple of 8476 and 8481 = 71884956

Step 1: Find the prime factorization of 8476

8476 = 2 x 2 x 13 x 163

Step 2: Find the prime factorization of 8481

8481 = 3 x 11 x 257

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

LCM = 71884956 = 2 x 2 x 3 x 11 x 13 x 163 x 257

Step 4: Therefore, the least common multiple of 8476 and 8481 is 71884956.