Least Common Multiple of 8356 and 8360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8356 and 8360 the smallest integer that is 17464040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8356 and 8360 is 17464040.

LCM(8356,8360) = 17464040

LCM of 8356 and 8360

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

LCM of:
and

Least Common Multiple of 8356 and 8360

LCM of 8356 and 8360 is 17464040

Least common multiple can be found by multiplying the highest exponent prime factors of 8356 and 8360. First we will calculate the prime factors of 8356 and 8360.

Prime Factorization of 8356


2 8356
2 4178
2089 2089
1

Prime factors of 8356 are 2,2089. Prime factorization of 8356 in exponential form is:

8356 = 22×20891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8356 and 8360.

LCM(8356,8360) = 23×51×111×191×20891
LCM(8356,8360) = 17464040

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1, 2, 4, 2089, 4178, 8356

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

Least Common Multiple of 8356 and 8360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8356 and 8360, than apply into the LCM equation.

GCF(8356,8360) = 4
LCM(8356,8360) = ( 8356 × 8360) / 4
LCM(8356,8360) = 69856160 / 4
LCM(8356,8360) = 17464040

Properties of LCM 8356 and 8360

(i) The LCM of 8360 and 8356 is associative

LCM of 8356 and 8360 = LCM of 8360 and 8356

Related Least Common Multiples of 8356

Related Least Common Multiples of 8360

Frequently Asked Questions on LCM of 8356 and 8360

1. What is the LCM of 8356 and 8360?

Answer: LCM of 8356 and 8360 is 17464040.

2. What are the Factors of 8356?

Answer: Factors of 8356 are 1, 2, 4, 2089, 4178, 8356. There are 6 integers that are factors of 8356. The greatest factor of 8356 is 8356.

3. 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.

4. How to Find the LCM of 8356 and 8360?

Answer:

Least Common Multiple of 8356 and 8360 = 17464040

Step 1: Find the prime factorization of 8356

8356 = 2 x 2 x 2089

Step 2: Find the prime factorization of 8360

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

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

LCM = 17464040 = 2 x 2 x 2 x 5 x 11 x 19 x 2089

Step 4: Therefore, the least common multiple of 8356 and 8360 is 17464040.