Least Common Multiple of 8352 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 8352 and 8360 the smallest integer that is 8727840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8352 and 8360 is 8727840.

LCM(8352,8360) = 8727840

LCM of 8352 and 8360

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

LCM of:
and

Least Common Multiple of 8352 and 8360

LCM of 8352 and 8360 is 8727840

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8360. First we will calculate the prime factors of 8352 and 8360.

Prime Factorization of 8352


2 8352
2 4176
2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 8352 are 2, 3,29. Prime factorization of 8352 in exponential form is:

8352 = 25×32×291

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 8352 and 8360.

LCM(8352,8360) = 25×32×51×111×191×291
LCM(8352,8360) = 8727840

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352

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 8352 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 8352 and 8360, than apply into the LCM equation.

GCF(8352,8360) = 8
LCM(8352,8360) = ( 8352 × 8360) / 8
LCM(8352,8360) = 69822720 / 8
LCM(8352,8360) = 8727840

Properties of LCM 8352 and 8360

(i) The LCM of 8360 and 8352 is associative

LCM of 8352 and 8360 = LCM of 8360 and 8352

Related Least Common Multiples of 8352

Related Least Common Multiples of 8360

Frequently Asked Questions on LCM of 8352 and 8360

1. What is the LCM of 8352 and 8360?

Answer: LCM of 8352 and 8360 is 8727840.

2. What are the Factors of 8352?

Answer: Factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352. There are 36 integers that are factors of 8352. The greatest factor of 8352 is 8352.

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 8352 and 8360?

Answer:

Least Common Multiple of 8352 and 8360 = 8727840

Step 1: Find the prime factorization of 8352

8352 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29

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 = 8727840 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 8352 and 8360 is 8727840.