Least Common Multiple of 8380 and 8386

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 8386 the smallest integer that is 35137340 that is divisible by both numbers.

Least Common Multiple (LCM) of 8380 and 8386 is 35137340.

LCM(8380,8386) = 35137340

LCM of 8380 and 8386

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

LCM of:
and

Least Common Multiple of 8380 and 8386

LCM of 8380 and 8386 is 35137340

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8386. First we will calculate the prime factors of 8380 and 8386.

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 8386


2 8386
7 4193
599 599
1

Prime factors of 8386 are 2, 7,599. Prime factorization of 8386 in exponential form is:

8386 = 21×71×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8386.

LCM(8380,8386) = 22×51×71×4191×5991
LCM(8380,8386) = 35137340

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 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1, 2, 7, 14, 599, 1198, 4193, 8386

Least Common Multiple of 8380 and 8386 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 8386, than apply into the LCM equation.

GCF(8380,8386) = 2
LCM(8380,8386) = ( 8380 × 8386) / 2
LCM(8380,8386) = 70274680 / 2
LCM(8380,8386) = 35137340

Properties of LCM 8380 and 8386

(i) The LCM of 8386 and 8380 is associative

LCM of 8380 and 8386 = LCM of 8386 and 8380

Related Least Common Multiples of 8380

Related Least Common Multiples of 8386

Frequently Asked Questions on LCM of 8380 and 8386

1. What is the LCM of 8380 and 8386?

Answer: LCM of 8380 and 8386 is 35137340.

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 8386?

Answer: Factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386. There are 8 integers that are factors of 8386. The greatest factor of 8386 is 8386.

4. How to Find the LCM of 8380 and 8386?

Answer:

Least Common Multiple of 8380 and 8386 = 35137340

Step 1: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 8386

8386 = 2 x 7 x 599

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

LCM = 35137340 = 2 x 2 x 5 x 7 x 419 x 599

Step 4: Therefore, the least common multiple of 8380 and 8386 is 35137340.