Least Common Multiple of 8385 and 8392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8385 and 8392 the smallest integer that is 70366920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8385 and 8392 is 70366920.

LCM(8385,8392) = 70366920

LCM of 8385 and 8392

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

LCM of:
and

Least Common Multiple of 8385 and 8392

LCM of 8385 and 8392 is 70366920

Least common multiple can be found by multiplying the highest exponent prime factors of 8385 and 8392. First we will calculate the prime factors of 8385 and 8392.

Prime Factorization of 8385


3 8385
5 2795
13 559
43 43
1

Prime factors of 8385 are 3, 5, 13,43. Prime factorization of 8385 in exponential form is:

8385 = 31×51×131×431

Prime Factorization of 8392


2 8392
2 4196
2 2098
1049 1049
1

Prime factors of 8392 are 2,1049. Prime factorization of 8392 in exponential form is:

8392 = 23×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 8385 and 8392.

LCM(8385,8392) = 23×31×51×131×431×10491
LCM(8385,8392) = 70366920

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385

Factors of 8392

List of positive integer factors of 8392 that divides 8392 without a remainder.

1, 2, 4, 8, 1049, 2098, 4196, 8392

Least Common Multiple of 8385 and 8392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8385 and 8392, than apply into the LCM equation.

GCF(8385,8392) = 1
LCM(8385,8392) = ( 8385 × 8392) / 1
LCM(8385,8392) = 70366920 / 1
LCM(8385,8392) = 70366920

Properties of LCM 8385 and 8392

(i) The LCM of 8392 and 8385 is associative

LCM of 8385 and 8392 = LCM of 8392 and 8385

Related Least Common Multiples of 8385

Related Least Common Multiples of 8392

Frequently Asked Questions on LCM of 8385 and 8392

1. What is the LCM of 8385 and 8392?

Answer: LCM of 8385 and 8392 is 70366920.

2. What are the Factors of 8385?

Answer: Factors of 8385 are 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385. There are 16 integers that are factors of 8385. The greatest factor of 8385 is 8385.

3. What are the Factors of 8392?

Answer: Factors of 8392 are 1, 2, 4, 8, 1049, 2098, 4196, 8392. There are 8 integers that are factors of 8392. The greatest factor of 8392 is 8392.

4. How to Find the LCM of 8385 and 8392?

Answer:

Least Common Multiple of 8385 and 8392 = 70366920

Step 1: Find the prime factorization of 8385

8385 = 3 x 5 x 13 x 43

Step 2: Find the prime factorization of 8392

8392 = 2 x 2 x 2 x 1049

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

LCM = 70366920 = 2 x 2 x 2 x 3 x 5 x 13 x 43 x 1049

Step 4: Therefore, the least common multiple of 8385 and 8392 is 70366920.