Least Common Multiple of 8476 and 8483

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 8483 the smallest integer that is 71901908 that is divisible by both numbers.

Least Common Multiple (LCM) of 8476 and 8483 is 71901908.

LCM(8476,8483) = 71901908

LCM of 8476 and 8483

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

LCM of:
and

Least Common Multiple of 8476 and 8483

LCM of 8476 and 8483 is 71901908

Least common multiple can be found by multiplying the highest exponent prime factors of 8476 and 8483. First we will calculate the prime factors of 8476 and 8483.

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 8483


17 8483
499 499
1

Prime factors of 8483 are 17,499. Prime factorization of 8483 in exponential form is:

8483 = 171×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 8476 and 8483.

LCM(8476,8483) = 22×131×171×1631×4991
LCM(8476,8483) = 71901908

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 8483

List of positive integer factors of 8483 that divides 8483 without a remainder.

1, 17, 499, 8483

Least Common Multiple of 8476 and 8483 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 8483, than apply into the LCM equation.

GCF(8476,8483) = 1
LCM(8476,8483) = ( 8476 × 8483) / 1
LCM(8476,8483) = 71901908 / 1
LCM(8476,8483) = 71901908

Properties of LCM 8476 and 8483

(i) The LCM of 8483 and 8476 is associative

LCM of 8476 and 8483 = LCM of 8483 and 8476

Related Least Common Multiples of 8476

Related Least Common Multiples of 8483

Frequently Asked Questions on LCM of 8476 and 8483

1. What is the LCM of 8476 and 8483?

Answer: LCM of 8476 and 8483 is 71901908.

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 8483?

Answer: Factors of 8483 are 1, 17, 499, 8483. There are 4 integers that are factors of 8483. The greatest factor of 8483 is 8483.

4. How to Find the LCM of 8476 and 8483?

Answer:

Least Common Multiple of 8476 and 8483 = 71901908

Step 1: Find the prime factorization of 8476

8476 = 2 x 2 x 13 x 163

Step 2: Find the prime factorization of 8483

8483 = 17 x 499

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

LCM = 71901908 = 2 x 2 x 13 x 17 x 163 x 499

Step 4: Therefore, the least common multiple of 8476 and 8483 is 71901908.