Least Common Multiple of 8363 and 8371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8363 and 8371 the smallest integer that is 70006673 that is divisible by both numbers.

Least Common Multiple (LCM) of 8363 and 8371 is 70006673.

LCM(8363,8371) = 70006673

LCM of 8363 and 8371

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

LCM of:
and

Least Common Multiple of 8363 and 8371

LCM of 8363 and 8371 is 70006673

Least common multiple can be found by multiplying the highest exponent prime factors of 8363 and 8371. First we will calculate the prime factors of 8363 and 8371.

Prime Factorization of 8363


8363 8363
1

Prime factors of 8363 are 8363. Prime factorization of 8363 in exponential form is:

8363 = 83631

Prime Factorization of 8371


11 8371
761 761
1

Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:

8371 = 111×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 8363 and 8371.

LCM(8363,8371) = 111×7611×83631
LCM(8363,8371) = 70006673

Factors of 8363

List of positive integer factors of 8363 that divides 8363 without a remainder.

1, 8363

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1, 11, 761, 8371

Least Common Multiple of 8363 and 8371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8363 and 8371, than apply into the LCM equation.

GCF(8363,8371) = 1
LCM(8363,8371) = ( 8363 × 8371) / 1
LCM(8363,8371) = 70006673 / 1
LCM(8363,8371) = 70006673

Properties of LCM 8363 and 8371

(i) The LCM of 8371 and 8363 is associative

LCM of 8363 and 8371 = LCM of 8371 and 8363

Related Least Common Multiples of 8363

Related Least Common Multiples of 8371

Frequently Asked Questions on LCM of 8363 and 8371

1. What is the LCM of 8363 and 8371?

Answer: LCM of 8363 and 8371 is 70006673.

2. What are the Factors of 8363?

Answer: Factors of 8363 are 1, 8363. There are 2 integers that are factors of 8363. The greatest factor of 8363 is 8363.

3. What are the Factors of 8371?

Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.

4. How to Find the LCM of 8363 and 8371?

Answer:

Least Common Multiple of 8363 and 8371 = 70006673

Step 1: Find the prime factorization of 8363

8363 = 8363

Step 2: Find the prime factorization of 8371

8371 = 11 x 761

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

LCM = 70006673 = 11 x 761 x 8363

Step 4: Therefore, the least common multiple of 8363 and 8371 is 70006673.