Least Common Multiple of 8467 and 8474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8467 and 8474 the smallest integer that is 71749358 that is divisible by both numbers.

Least Common Multiple (LCM) of 8467 and 8474 is 71749358.

LCM(8467,8474) = 71749358

LCM of 8467 and 8474

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

LCM of:
and

Least Common Multiple of 8467 and 8474

LCM of 8467 and 8474 is 71749358

Least common multiple can be found by multiplying the highest exponent prime factors of 8467 and 8474. First we will calculate the prime factors of 8467 and 8474.

Prime Factorization of 8467


8467 8467
1

Prime factors of 8467 are 8467. Prime factorization of 8467 in exponential form is:

8467 = 84671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8467 and 8474.

LCM(8467,8474) = 21×191×2231×84671
LCM(8467,8474) = 71749358

Factors of 8467

List of positive integer factors of 8467 that divides 8467 without a remainder.

1, 8467

Factors of 8474

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

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

Least Common Multiple of 8467 and 8474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8467 and 8474, than apply into the LCM equation.

GCF(8467,8474) = 1
LCM(8467,8474) = ( 8467 × 8474) / 1
LCM(8467,8474) = 71749358 / 1
LCM(8467,8474) = 71749358

Properties of LCM 8467 and 8474

(i) The LCM of 8474 and 8467 is associative

LCM of 8467 and 8474 = LCM of 8474 and 8467

Related Least Common Multiples of 8467

Related Least Common Multiples of 8474

Frequently Asked Questions on LCM of 8467 and 8474

1. What is the LCM of 8467 and 8474?

Answer: LCM of 8467 and 8474 is 71749358.

2. What are the Factors of 8467?

Answer: Factors of 8467 are 1, 8467. There are 2 integers that are factors of 8467. The greatest factor of 8467 is 8467.

3. 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.

4. How to Find the LCM of 8467 and 8474?

Answer:

Least Common Multiple of 8467 and 8474 = 71749358

Step 1: Find the prime factorization of 8467

8467 = 8467

Step 2: Find the prime factorization of 8474

8474 = 2 x 19 x 223

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

LCM = 71749358 = 2 x 19 x 223 x 8467

Step 4: Therefore, the least common multiple of 8467 and 8474 is 71749358.