Least Common Multiple of 8360 and 8367

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 8367 the smallest integer that is 69948120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8360 and 8367 is 69948120.

LCM(8360,8367) = 69948120

LCM of 8360 and 8367

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

LCM of:
and

Least Common Multiple of 8360 and 8367

LCM of 8360 and 8367 is 69948120

Least common multiple can be found by multiplying the highest exponent prime factors of 8360 and 8367. First we will calculate the prime factors of 8360 and 8367.

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 8367


3 8367
2789 2789
1

Prime factors of 8367 are 3,2789. Prime factorization of 8367 in exponential form is:

8367 = 31×27891

Now multiplying the highest exponent prime factors to calculate the LCM of 8360 and 8367.

LCM(8360,8367) = 23×31×51×111×191×27891
LCM(8360,8367) = 69948120

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 8367

List of positive integer factors of 8367 that divides 8367 without a remainder.

1, 3, 2789, 8367

Least Common Multiple of 8360 and 8367 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 8367, than apply into the LCM equation.

GCF(8360,8367) = 1
LCM(8360,8367) = ( 8360 × 8367) / 1
LCM(8360,8367) = 69948120 / 1
LCM(8360,8367) = 69948120

Properties of LCM 8360 and 8367

(i) The LCM of 8367 and 8360 is associative

LCM of 8360 and 8367 = LCM of 8367 and 8360

Related Least Common Multiples of 8360

Related Least Common Multiples of 8367

Frequently Asked Questions on LCM of 8360 and 8367

1. What is the LCM of 8360 and 8367?

Answer: LCM of 8360 and 8367 is 69948120.

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 8367?

Answer: Factors of 8367 are 1, 3, 2789, 8367. There are 4 integers that are factors of 8367. The greatest factor of 8367 is 8367.

4. How to Find the LCM of 8360 and 8367?

Answer:

Least Common Multiple of 8360 and 8367 = 69948120

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 8367

8367 = 3 x 2789

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

LCM = 69948120 = 2 x 2 x 2 x 3 x 5 x 11 x 19 x 2789

Step 4: Therefore, the least common multiple of 8360 and 8367 is 69948120.