Least Common Multiple of 8346 and 8352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8346 and 8352 the smallest integer that is 11617632 that is divisible by both numbers.

Least Common Multiple (LCM) of 8346 and 8352 is 11617632.

LCM(8346,8352) = 11617632

LCM of 8346 and 8352

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

LCM of:
and

Least Common Multiple of 8346 and 8352

LCM of 8346 and 8352 is 11617632

Least common multiple can be found by multiplying the highest exponent prime factors of 8346 and 8352. First we will calculate the prime factors of 8346 and 8352.

Prime Factorization of 8346


2 8346
3 4173
13 1391
107 107
1

Prime factors of 8346 are 2, 3, 13,107. Prime factorization of 8346 in exponential form is:

8346 = 21×31×131×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8346 and 8352.

LCM(8346,8352) = 25×32×131×291×1071
LCM(8346,8352) = 11617632

Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346

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

Least Common Multiple of 8346 and 8352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8346 and 8352, than apply into the LCM equation.

GCF(8346,8352) = 6
LCM(8346,8352) = ( 8346 × 8352) / 6
LCM(8346,8352) = 69705792 / 6
LCM(8346,8352) = 11617632

Properties of LCM 8346 and 8352

(i) The LCM of 8352 and 8346 is associative

LCM of 8346 and 8352 = LCM of 8352 and 8346

Related Least Common Multiples of 8346

Related Least Common Multiples of 8352

Frequently Asked Questions on LCM of 8346 and 8352

1. What is the LCM of 8346 and 8352?

Answer: LCM of 8346 and 8352 is 11617632.

2. What are the Factors of 8346?

Answer: Factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346. There are 16 integers that are factors of 8346. The greatest factor of 8346 is 8346.

3. 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.

4. How to Find the LCM of 8346 and 8352?

Answer:

Least Common Multiple of 8346 and 8352 = 11617632

Step 1: Find the prime factorization of 8346

8346 = 2 x 3 x 13 x 107

Step 2: Find the prime factorization of 8352

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

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

LCM = 11617632 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 29 x 107

Step 4: Therefore, the least common multiple of 8346 and 8352 is 11617632.