Least Common Multiple of 8364 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 8364 and 8371 the smallest integer that is 70015044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8364 and 8371 is 70015044.

LCM(8364,8371) = 70015044

LCM of 8364 and 8371

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

LCM of:
and

Least Common Multiple of 8364 and 8371

LCM of 8364 and 8371 is 70015044

Least common multiple can be found by multiplying the highest exponent prime factors of 8364 and 8371. First we will calculate the prime factors of 8364 and 8371.

Prime Factorization of 8364


2 8364
2 4182
3 2091
17 697
41 41
1

Prime factors of 8364 are 2, 3, 17,41. Prime factorization of 8364 in exponential form is:

8364 = 22×31×171×411

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 8364 and 8371.

LCM(8364,8371) = 22×31×111×171×411×7611
LCM(8364,8371) = 70015044

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364

Factors of 8371

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

1, 11, 761, 8371

Least Common Multiple of 8364 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 8364 and 8371, than apply into the LCM equation.

GCF(8364,8371) = 1
LCM(8364,8371) = ( 8364 × 8371) / 1
LCM(8364,8371) = 70015044 / 1
LCM(8364,8371) = 70015044

Properties of LCM 8364 and 8371

(i) The LCM of 8371 and 8364 is associative

LCM of 8364 and 8371 = LCM of 8371 and 8364

Related Least Common Multiples of 8364

Related Least Common Multiples of 8371

Frequently Asked Questions on LCM of 8364 and 8371

1. What is the LCM of 8364 and 8371?

Answer: LCM of 8364 and 8371 is 70015044.

2. What are the Factors of 8364?

Answer: Factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364. There are 24 integers that are factors of 8364. The greatest factor of 8364 is 8364.

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 8364 and 8371?

Answer:

Least Common Multiple of 8364 and 8371 = 70015044

Step 1: Find the prime factorization of 8364

8364 = 2 x 2 x 3 x 17 x 41

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 = 70015044 = 2 x 2 x 3 x 11 x 17 x 41 x 761

Step 4: Therefore, the least common multiple of 8364 and 8371 is 70015044.