Least Common Multiple of 8352 and 8357

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 8357 the smallest integer that is 69797664 that is divisible by both numbers.

Least Common Multiple (LCM) of 8352 and 8357 is 69797664.

LCM(8352,8357) = 69797664

LCM of 8352 and 8357

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

LCM of:
and

Least Common Multiple of 8352 and 8357

LCM of 8352 and 8357 is 69797664

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8357. First we will calculate the prime factors of 8352 and 8357.

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 8357


61 8357
137 137
1

Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:

8357 = 611×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8357.

LCM(8352,8357) = 25×32×291×611×1371
LCM(8352,8357) = 69797664

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 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1, 61, 137, 8357

Least Common Multiple of 8352 and 8357 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 8357, than apply into the LCM equation.

GCF(8352,8357) = 1
LCM(8352,8357) = ( 8352 × 8357) / 1
LCM(8352,8357) = 69797664 / 1
LCM(8352,8357) = 69797664

Properties of LCM 8352 and 8357

(i) The LCM of 8357 and 8352 is associative

LCM of 8352 and 8357 = LCM of 8357 and 8352

Related Least Common Multiples of 8352

Related Least Common Multiples of 8357

Frequently Asked Questions on LCM of 8352 and 8357

1. What is the LCM of 8352 and 8357?

Answer: LCM of 8352 and 8357 is 69797664.

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 8357?

Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.

4. How to Find the LCM of 8352 and 8357?

Answer:

Least Common Multiple of 8352 and 8357 = 69797664

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 8357

8357 = 61 x 137

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

LCM = 69797664 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 61 x 137

Step 4: Therefore, the least common multiple of 8352 and 8357 is 69797664.