Least Common Multiple of 8379 and 8385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8379 and 8385 the smallest integer that is 23419305 that is divisible by both numbers.

Least Common Multiple (LCM) of 8379 and 8385 is 23419305.

LCM(8379,8385) = 23419305

LCM of 8379 and 8385

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

LCM of:
and

Least Common Multiple of 8379 and 8385

LCM of 8379 and 8385 is 23419305

Least common multiple can be found by multiplying the highest exponent prime factors of 8379 and 8385. First we will calculate the prime factors of 8379 and 8385.

Prime Factorization of 8379


3 8379
3 2793
7 931
7 133
19 19
1

Prime factors of 8379 are 3, 7,19. Prime factorization of 8379 in exponential form is:

8379 = 32×72×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8379 and 8385.

LCM(8379,8385) = 32×51×72×131×191×431
LCM(8379,8385) = 23419305

Factors of 8379

List of positive integer factors of 8379 that divides 8379 without a remainder.

1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379

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

Least Common Multiple of 8379 and 8385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8379 and 8385, than apply into the LCM equation.

GCF(8379,8385) = 3
LCM(8379,8385) = ( 8379 × 8385) / 3
LCM(8379,8385) = 70257915 / 3
LCM(8379,8385) = 23419305

Properties of LCM 8379 and 8385

(i) The LCM of 8385 and 8379 is associative

LCM of 8379 and 8385 = LCM of 8385 and 8379

Related Least Common Multiples of 8379

Related Least Common Multiples of 8385

Frequently Asked Questions on LCM of 8379 and 8385

1. What is the LCM of 8379 and 8385?

Answer: LCM of 8379 and 8385 is 23419305.

2. What are the Factors of 8379?

Answer: Factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379. There are 18 integers that are factors of 8379. The greatest factor of 8379 is 8379.

3. 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.

4. How to Find the LCM of 8379 and 8385?

Answer:

Least Common Multiple of 8379 and 8385 = 23419305

Step 1: Find the prime factorization of 8379

8379 = 3 x 3 x 7 x 7 x 19

Step 2: Find the prime factorization of 8385

8385 = 3 x 5 x 13 x 43

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

LCM = 23419305 = 3 x 3 x 5 x 7 x 7 x 13 x 19 x 43

Step 4: Therefore, the least common multiple of 8379 and 8385 is 23419305.