Least Common Multiple of 8352 and 8356

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 8356 the smallest integer that is 17447328 that is divisible by both numbers.

Least Common Multiple (LCM) of 8352 and 8356 is 17447328.

LCM(8352,8356) = 17447328

LCM of 8352 and 8356

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

LCM of:
and

Least Common Multiple of 8352 and 8356

LCM of 8352 and 8356 is 17447328

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8356. First we will calculate the prime factors of 8352 and 8356.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8356.

LCM(8352,8356) = 25×32×291×20891
LCM(8352,8356) = 17447328

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 8356

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

1, 2, 4, 2089, 4178, 8356

Least Common Multiple of 8352 and 8356 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 8356, than apply into the LCM equation.

GCF(8352,8356) = 4
LCM(8352,8356) = ( 8352 × 8356) / 4
LCM(8352,8356) = 69789312 / 4
LCM(8352,8356) = 17447328

Properties of LCM 8352 and 8356

(i) The LCM of 8356 and 8352 is associative

LCM of 8352 and 8356 = LCM of 8356 and 8352

Related Least Common Multiples of 8352

Related Least Common Multiples of 8356

Frequently Asked Questions on LCM of 8352 and 8356

1. What is the LCM of 8352 and 8356?

Answer: LCM of 8352 and 8356 is 17447328.

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 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.

4. How to Find the LCM of 8352 and 8356?

Answer:

Least Common Multiple of 8352 and 8356 = 17447328

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 8356

8356 = 2 x 2 x 2089

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

LCM = 17447328 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 2089

Step 4: Therefore, the least common multiple of 8352 and 8356 is 17447328.