Least Common Multiple of 8345 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 8345 and 8352 the smallest integer that is 69697440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8345 and 8352 is 69697440.

LCM(8345,8352) = 69697440

LCM of 8345 and 8352

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

LCM of:
and

Least Common Multiple of 8345 and 8352

LCM of 8345 and 8352 is 69697440

Least common multiple can be found by multiplying the highest exponent prime factors of 8345 and 8352. First we will calculate the prime factors of 8345 and 8352.

Prime Factorization of 8345


5 8345
1669 1669
1

Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:

8345 = 51×16691

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 8345 and 8352.

LCM(8345,8352) = 25×32×51×291×16691
LCM(8345,8352) = 69697440

Factors of 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1, 5, 1669, 8345

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 8345 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 8345 and 8352, than apply into the LCM equation.

GCF(8345,8352) = 1
LCM(8345,8352) = ( 8345 × 8352) / 1
LCM(8345,8352) = 69697440 / 1
LCM(8345,8352) = 69697440

Properties of LCM 8345 and 8352

(i) The LCM of 8352 and 8345 is associative

LCM of 8345 and 8352 = LCM of 8352 and 8345

Related Least Common Multiples of 8345

Related Least Common Multiples of 8352

Frequently Asked Questions on LCM of 8345 and 8352

1. What is the LCM of 8345 and 8352?

Answer: LCM of 8345 and 8352 is 69697440.

2. What are the Factors of 8345?

Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.

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 8345 and 8352?

Answer:

Least Common Multiple of 8345 and 8352 = 69697440

Step 1: Find the prime factorization of 8345

8345 = 5 x 1669

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 = 69697440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29 x 1669

Step 4: Therefore, the least common multiple of 8345 and 8352 is 69697440.