Least Common Multiple of 8471 and 8477

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 8477 the smallest integer that is 71808667 that is divisible by both numbers.

Least Common Multiple (LCM) of 8471 and 8477 is 71808667.

LCM(8471,8477) = 71808667

LCM of 8471 and 8477

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

LCM of:
and

Least Common Multiple of 8471 and 8477

LCM of 8471 and 8477 is 71808667

Least common multiple can be found by multiplying the highest exponent prime factors of 8471 and 8477. First we will calculate the prime factors of 8471 and 8477.

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 8477


7 8477
7 1211
173 173
1

Prime factors of 8477 are 7,173. Prime factorization of 8477 in exponential form is:

8477 = 72×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8471 and 8477.

LCM(8471,8477) = 72×431×1731×1971
LCM(8471,8477) = 71808667

Factors of 8471

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

1, 43, 197, 8471

Factors of 8477

List of positive integer factors of 8477 that divides 8477 without a remainder.

1, 7, 49, 173, 1211, 8477

Least Common Multiple of 8471 and 8477 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 8477, than apply into the LCM equation.

GCF(8471,8477) = 1
LCM(8471,8477) = ( 8471 × 8477) / 1
LCM(8471,8477) = 71808667 / 1
LCM(8471,8477) = 71808667

Properties of LCM 8471 and 8477

(i) The LCM of 8477 and 8471 is associative

LCM of 8471 and 8477 = LCM of 8477 and 8471

Related Least Common Multiples of 8471

Related Least Common Multiples of 8477

Frequently Asked Questions on LCM of 8471 and 8477

1. What is the LCM of 8471 and 8477?

Answer: LCM of 8471 and 8477 is 71808667.

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 8477?

Answer: Factors of 8477 are 1, 7, 49, 173, 1211, 8477. There are 6 integers that are factors of 8477. The greatest factor of 8477 is 8477.

4. How to Find the LCM of 8471 and 8477?

Answer:

Least Common Multiple of 8471 and 8477 = 71808667

Step 1: Find the prime factorization of 8471

8471 = 43 x 197

Step 2: Find the prime factorization of 8477

8477 = 7 x 7 x 173

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

LCM = 71808667 = 7 x 7 x 43 x 173 x 197

Step 4: Therefore, the least common multiple of 8471 and 8477 is 71808667.