Least Common Multiple of 8380 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 8380 and 8385 the smallest integer that is 14053260 that is divisible by both numbers.

Least Common Multiple (LCM) of 8380 and 8385 is 14053260.

LCM(8380,8385) = 14053260

LCM of 8380 and 8385

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

LCM of:
and

Least Common Multiple of 8380 and 8385

LCM of 8380 and 8385 is 14053260

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8385. First we will calculate the prime factors of 8380 and 8385.

Prime Factorization of 8380


2 8380
2 4190
5 2095
419 419
1

Prime factors of 8380 are 2, 5,419. Prime factorization of 8380 in exponential form is:

8380 = 22×51×4191

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 8380 and 8385.

LCM(8380,8385) = 22×31×51×131×431×4191
LCM(8380,8385) = 14053260

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380

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 8380 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 8380 and 8385, than apply into the LCM equation.

GCF(8380,8385) = 5
LCM(8380,8385) = ( 8380 × 8385) / 5
LCM(8380,8385) = 70266300 / 5
LCM(8380,8385) = 14053260

Properties of LCM 8380 and 8385

(i) The LCM of 8385 and 8380 is associative

LCM of 8380 and 8385 = LCM of 8385 and 8380

Related Least Common Multiples of 8380

Related Least Common Multiples of 8385

Frequently Asked Questions on LCM of 8380 and 8385

1. What is the LCM of 8380 and 8385?

Answer: LCM of 8380 and 8385 is 14053260.

2. What are the Factors of 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

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 8380 and 8385?

Answer:

Least Common Multiple of 8380 and 8385 = 14053260

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

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 = 14053260 = 2 x 2 x 3 x 5 x 13 x 43 x 419

Step 4: Therefore, the least common multiple of 8380 and 8385 is 14053260.