Least Common Multiple of 8471 and 8476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8471 and 8476 the smallest integer that is 71800196 that is divisible by both numbers.

Least Common Multiple (LCM) of 8471 and 8476 is 71800196.

LCM(8471,8476) = 71800196

LCM of 8471 and 8476

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

LCM of:
and

Least Common Multiple of 8471 and 8476

LCM of 8471 and 8476 is 71800196

Least common multiple can be found by multiplying the highest exponent prime factors of 8471 and 8476. First we will calculate the prime factors of 8471 and 8476.

Prime Factorization of 8471


43 8471
197 197
1

Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:

8471 = 431×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8471 and 8476.

LCM(8471,8476) = 22×131×431×1631×1971
LCM(8471,8476) = 71800196

Factors of 8471

List of positive integer factors of 8471 that divides 8471 without a remainder.

1, 43, 197, 8471

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

Least Common Multiple of 8471 and 8476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8471 and 8476, than apply into the LCM equation.

GCF(8471,8476) = 1
LCM(8471,8476) = ( 8471 × 8476) / 1
LCM(8471,8476) = 71800196 / 1
LCM(8471,8476) = 71800196

Properties of LCM 8471 and 8476

(i) The LCM of 8476 and 8471 is associative

LCM of 8471 and 8476 = LCM of 8476 and 8471

Related Least Common Multiples of 8471

Related Least Common Multiples of 8476

Frequently Asked Questions on LCM of 8471 and 8476

1. What is the LCM of 8471 and 8476?

Answer: LCM of 8471 and 8476 is 71800196.

2. What are the Factors of 8471?

Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.

3. 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.

4. How to Find the LCM of 8471 and 8476?

Answer:

Least Common Multiple of 8471 and 8476 = 71800196

Step 1: Find the prime factorization of 8471

8471 = 43 x 197

Step 2: Find the prime factorization of 8476

8476 = 2 x 2 x 13 x 163

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

LCM = 71800196 = 2 x 2 x 13 x 43 x 163 x 197

Step 4: Therefore, the least common multiple of 8471 and 8476 is 71800196.