Least Common Multiple of 8474 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 8474 and 8481 the smallest integer that is 71867994 that is divisible by both numbers.

Least Common Multiple (LCM) of 8474 and 8481 is 71867994.

LCM(8474,8481) = 71867994

LCM of 8474 and 8481

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

LCM of:
and

Least Common Multiple of 8474 and 8481

LCM of 8474 and 8481 is 71867994

Least common multiple can be found by multiplying the highest exponent prime factors of 8474 and 8481. First we will calculate the prime factors of 8474 and 8481.

Prime Factorization of 8474


2 8474
19 4237
223 223
1

Prime factors of 8474 are 2, 19,223. Prime factorization of 8474 in exponential form is:

8474 = 21×191×2231

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 8474 and 8481.

LCM(8474,8481) = 21×31×111×191×2231×2571
LCM(8474,8481) = 71867994

Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1, 2, 19, 38, 223, 446, 4237, 8474

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 8474 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 8474 and 8481, than apply into the LCM equation.

GCF(8474,8481) = 1
LCM(8474,8481) = ( 8474 × 8481) / 1
LCM(8474,8481) = 71867994 / 1
LCM(8474,8481) = 71867994

Properties of LCM 8474 and 8481

(i) The LCM of 8481 and 8474 is associative

LCM of 8474 and 8481 = LCM of 8481 and 8474

Related Least Common Multiples of 8474

Related Least Common Multiples of 8481

Frequently Asked Questions on LCM of 8474 and 8481

1. What is the LCM of 8474 and 8481?

Answer: LCM of 8474 and 8481 is 71867994.

2. What are the Factors of 8474?

Answer: Factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474. There are 8 integers that are factors of 8474. The greatest factor of 8474 is 8474.

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 8474 and 8481?

Answer:

Least Common Multiple of 8474 and 8481 = 71867994

Step 1: Find the prime factorization of 8474

8474 = 2 x 19 x 223

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 = 71867994 = 2 x 3 x 11 x 19 x 223 x 257

Step 4: Therefore, the least common multiple of 8474 and 8481 is 71867994.