Least Common Multiple of 8360 and 8366

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 8366 the smallest integer that is 34969880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8360 and 8366 is 34969880.

LCM(8360,8366) = 34969880

LCM of 8360 and 8366

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

LCM of:
and

Least Common Multiple of 8360 and 8366

LCM of 8360 and 8366 is 34969880

Least common multiple can be found by multiplying the highest exponent prime factors of 8360 and 8366. First we will calculate the prime factors of 8360 and 8366.

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 8366


2 8366
47 4183
89 89
1

Prime factors of 8366 are 2, 47,89. Prime factorization of 8366 in exponential form is:

8366 = 21×471×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8360 and 8366.

LCM(8360,8366) = 23×51×111×191×471×891
LCM(8360,8366) = 34969880

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 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1, 2, 47, 89, 94, 178, 4183, 8366

Least Common Multiple of 8360 and 8366 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 8366, than apply into the LCM equation.

GCF(8360,8366) = 2
LCM(8360,8366) = ( 8360 × 8366) / 2
LCM(8360,8366) = 69939760 / 2
LCM(8360,8366) = 34969880

Properties of LCM 8360 and 8366

(i) The LCM of 8366 and 8360 is associative

LCM of 8360 and 8366 = LCM of 8366 and 8360

Related Least Common Multiples of 8360

Related Least Common Multiples of 8366

Frequently Asked Questions on LCM of 8360 and 8366

1. What is the LCM of 8360 and 8366?

Answer: LCM of 8360 and 8366 is 34969880.

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 8366?

Answer: Factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366. There are 8 integers that are factors of 8366. The greatest factor of 8366 is 8366.

4. How to Find the LCM of 8360 and 8366?

Answer:

Least Common Multiple of 8360 and 8366 = 34969880

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 8366

8366 = 2 x 47 x 89

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

LCM = 34969880 = 2 x 2 x 2 x 5 x 11 x 19 x 47 x 89

Step 4: Therefore, the least common multiple of 8360 and 8366 is 34969880.