Least Common Multiple of 8360 and 8365

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 8365 the smallest integer that is 13986280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8360 and 8365 is 13986280.

LCM(8360,8365) = 13986280

LCM of 8360 and 8365

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

LCM of:
and

Least Common Multiple of 8360 and 8365

LCM of 8360 and 8365 is 13986280

Least common multiple can be found by multiplying the highest exponent prime factors of 8360 and 8365. First we will calculate the prime factors of 8360 and 8365.

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 8365


5 8365
7 1673
239 239
1

Prime factors of 8365 are 5, 7,239. Prime factorization of 8365 in exponential form is:

8365 = 51×71×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8360 and 8365.

LCM(8360,8365) = 23×51×71×111×191×2391
LCM(8360,8365) = 13986280

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 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1, 5, 7, 35, 239, 1195, 1673, 8365

Least Common Multiple of 8360 and 8365 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 8365, than apply into the LCM equation.

GCF(8360,8365) = 5
LCM(8360,8365) = ( 8360 × 8365) / 5
LCM(8360,8365) = 69931400 / 5
LCM(8360,8365) = 13986280

Properties of LCM 8360 and 8365

(i) The LCM of 8365 and 8360 is associative

LCM of 8360 and 8365 = LCM of 8365 and 8360

Related Least Common Multiples of 8360

Related Least Common Multiples of 8365

Frequently Asked Questions on LCM of 8360 and 8365

1. What is the LCM of 8360 and 8365?

Answer: LCM of 8360 and 8365 is 13986280.

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 8365?

Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.

4. How to Find the LCM of 8360 and 8365?

Answer:

Least Common Multiple of 8360 and 8365 = 13986280

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 8365

8365 = 5 x 7 x 239

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

LCM = 13986280 = 2 x 2 x 2 x 5 x 7 x 11 x 19 x 239

Step 4: Therefore, the least common multiple of 8360 and 8365 is 13986280.