Least Common Multiple of 8380 and 8384

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 8384 the smallest integer that is 17564480 that is divisible by both numbers.

Least Common Multiple (LCM) of 8380 and 8384 is 17564480.

LCM(8380,8384) = 17564480

LCM of 8380 and 8384

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

LCM of:
and

Least Common Multiple of 8380 and 8384

LCM of 8380 and 8384 is 17564480

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8384. First we will calculate the prime factors of 8380 and 8384.

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 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8384.

LCM(8380,8384) = 26×51×1311×4191
LCM(8380,8384) = 17564480

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 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384

Least Common Multiple of 8380 and 8384 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 8384, than apply into the LCM equation.

GCF(8380,8384) = 4
LCM(8380,8384) = ( 8380 × 8384) / 4
LCM(8380,8384) = 70257920 / 4
LCM(8380,8384) = 17564480

Properties of LCM 8380 and 8384

(i) The LCM of 8384 and 8380 is associative

LCM of 8380 and 8384 = LCM of 8384 and 8380

Related Least Common Multiples of 8380

Related Least Common Multiples of 8384

Frequently Asked Questions on LCM of 8380 and 8384

1. What is the LCM of 8380 and 8384?

Answer: LCM of 8380 and 8384 is 17564480.

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 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

4. How to Find the LCM of 8380 and 8384?

Answer:

Least Common Multiple of 8380 and 8384 = 17564480

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

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

LCM = 17564480 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 131 x 419

Step 4: Therefore, the least common multiple of 8380 and 8384 is 17564480.