Least Common Multiple of 8380 and 8388

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 8388 the smallest integer that is 17572860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8380 and 8388 is 17572860.

LCM(8380,8388) = 17572860

LCM of 8380 and 8388

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

LCM of:
and

Least Common Multiple of 8380 and 8388

LCM of 8380 and 8388 is 17572860

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8388. First we will calculate the prime factors of 8380 and 8388.

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 8388


2 8388
2 4194
3 2097
3 699
233 233
1

Prime factors of 8388 are 2, 3,233. Prime factorization of 8388 in exponential form is:

8388 = 22×32×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8388.

LCM(8380,8388) = 22×32×51×2331×4191
LCM(8380,8388) = 17572860

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 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388

Least Common Multiple of 8380 and 8388 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 8388, than apply into the LCM equation.

GCF(8380,8388) = 4
LCM(8380,8388) = ( 8380 × 8388) / 4
LCM(8380,8388) = 70291440 / 4
LCM(8380,8388) = 17572860

Properties of LCM 8380 and 8388

(i) The LCM of 8388 and 8380 is associative

LCM of 8380 and 8388 = LCM of 8388 and 8380

Related Least Common Multiples of 8380

Related Least Common Multiples of 8388

Frequently Asked Questions on LCM of 8380 and 8388

1. What is the LCM of 8380 and 8388?

Answer: LCM of 8380 and 8388 is 17572860.

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 8388?

Answer: Factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388. There are 18 integers that are factors of 8388. The greatest factor of 8388 is 8388.

4. How to Find the LCM of 8380 and 8388?

Answer:

Least Common Multiple of 8380 and 8388 = 17572860

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 8388

8388 = 2 x 2 x 3 x 3 x 233

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

LCM = 17572860 = 2 x 2 x 3 x 3 x 5 x 233 x 419

Step 4: Therefore, the least common multiple of 8380 and 8388 is 17572860.