Least Common Multiple of 8352 and 8359

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 8359 the smallest integer that is 69814368 that is divisible by both numbers.

Least Common Multiple (LCM) of 8352 and 8359 is 69814368.

LCM(8352,8359) = 69814368

LCM of 8352 and 8359

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

LCM of:
and

Least Common Multiple of 8352 and 8359

LCM of 8352 and 8359 is 69814368

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8359. First we will calculate the prime factors of 8352 and 8359.

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 8359


13 8359
643 643
1

Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:

8359 = 131×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8359.

LCM(8352,8359) = 25×32×131×291×6431
LCM(8352,8359) = 69814368

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 8359

List of positive integer factors of 8359 that divides 8359 without a remainder.

1, 13, 643, 8359

Least Common Multiple of 8352 and 8359 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 8359, than apply into the LCM equation.

GCF(8352,8359) = 1
LCM(8352,8359) = ( 8352 × 8359) / 1
LCM(8352,8359) = 69814368 / 1
LCM(8352,8359) = 69814368

Properties of LCM 8352 and 8359

(i) The LCM of 8359 and 8352 is associative

LCM of 8352 and 8359 = LCM of 8359 and 8352

Related Least Common Multiples of 8352

Related Least Common Multiples of 8359

Frequently Asked Questions on LCM of 8352 and 8359

1. What is the LCM of 8352 and 8359?

Answer: LCM of 8352 and 8359 is 69814368.

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 8359?

Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.

4. How to Find the LCM of 8352 and 8359?

Answer:

Least Common Multiple of 8352 and 8359 = 69814368

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 8359

8359 = 13 x 643

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

LCM = 69814368 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 29 x 643

Step 4: Therefore, the least common multiple of 8352 and 8359 is 69814368.