Least Common Multiple of 8360 and 8364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8360 and 8364 the smallest integer that is 17480760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8360 and 8364 is 17480760.

LCM(8360,8364) = 17480760

LCM of 8360 and 8364

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

LCM of:
and

Least Common Multiple of 8360 and 8364

LCM of 8360 and 8364 is 17480760

Least common multiple can be found by multiplying the highest exponent prime factors of 8360 and 8364. First we will calculate the prime factors of 8360 and 8364.

Prime Factorization of 8360


2 8360
2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 8360 are 2, 5, 11,19. Prime factorization of 8360 in exponential form is:

8360 = 23×51×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8360 and 8364.

LCM(8360,8364) = 23×31×51×111×171×191×411
LCM(8360,8364) = 17480760

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360

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

Least Common Multiple of 8360 and 8364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8360 and 8364, than apply into the LCM equation.

GCF(8360,8364) = 4
LCM(8360,8364) = ( 8360 × 8364) / 4
LCM(8360,8364) = 69923040 / 4
LCM(8360,8364) = 17480760

Properties of LCM 8360 and 8364

(i) The LCM of 8364 and 8360 is associative

LCM of 8360 and 8364 = LCM of 8364 and 8360

Related Least Common Multiples of 8360

Related Least Common Multiples of 8364

Frequently Asked Questions on LCM of 8360 and 8364

1. What is the LCM of 8360 and 8364?

Answer: LCM of 8360 and 8364 is 17480760.

2. What are the Factors of 8360?

Answer: Factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360. There are 32 integers that are factors of 8360. The greatest factor of 8360 is 8360.

3. 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.

4. How to Find the LCM of 8360 and 8364?

Answer:

Least Common Multiple of 8360 and 8364 = 17480760

Step 1: Find the prime factorization of 8360

8360 = 2 x 2 x 2 x 5 x 11 x 19

Step 2: Find the prime factorization of 8364

8364 = 2 x 2 x 3 x 17 x 41

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

LCM = 17480760 = 2 x 2 x 2 x 3 x 5 x 11 x 17 x 19 x 41

Step 4: Therefore, the least common multiple of 8360 and 8364 is 17480760.