Least Common Multiple of 8352 and 8358

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 8358 the smallest integer that is 11634336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8352 and 8358 is 11634336.

LCM(8352,8358) = 11634336

LCM of 8352 and 8358

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

LCM of:
and

Least Common Multiple of 8352 and 8358

LCM of 8352 and 8358 is 11634336

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8358. First we will calculate the prime factors of 8352 and 8358.

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 8358


2 8358
3 4179
7 1393
199 199
1

Prime factors of 8358 are 2, 3, 7,199. Prime factorization of 8358 in exponential form is:

8358 = 21×31×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8358.

LCM(8352,8358) = 25×32×71×291×1991
LCM(8352,8358) = 11634336

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 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358

Least Common Multiple of 8352 and 8358 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 8358, than apply into the LCM equation.

GCF(8352,8358) = 6
LCM(8352,8358) = ( 8352 × 8358) / 6
LCM(8352,8358) = 69806016 / 6
LCM(8352,8358) = 11634336

Properties of LCM 8352 and 8358

(i) The LCM of 8358 and 8352 is associative

LCM of 8352 and 8358 = LCM of 8358 and 8352

Related Least Common Multiples of 8352

Related Least Common Multiples of 8358

Frequently Asked Questions on LCM of 8352 and 8358

1. What is the LCM of 8352 and 8358?

Answer: LCM of 8352 and 8358 is 11634336.

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 8358?

Answer: Factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358. There are 16 integers that are factors of 8358. The greatest factor of 8358 is 8358.

4. How to Find the LCM of 8352 and 8358?

Answer:

Least Common Multiple of 8352 and 8358 = 11634336

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 8358

8358 = 2 x 3 x 7 x 199

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

LCM = 11634336 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 29 x 199

Step 4: Therefore, the least common multiple of 8352 and 8358 is 11634336.