Least Common Multiple of 6380 and 6386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6380 and 6386 the smallest integer that is 20371340 that is divisible by both numbers.

Least Common Multiple (LCM) of 6380 and 6386 is 20371340.

LCM(6380,6386) = 20371340

LCM of 6380 and 6386

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

LCM of:
and

Least Common Multiple of 6380 and 6386

LCM of 6380 and 6386 is 20371340

Least common multiple can be found by multiplying the highest exponent prime factors of 6380 and 6386. First we will calculate the prime factors of 6380 and 6386.

Prime Factorization of 6380


2 6380
2 3190
5 1595
11 319
29 29
1

Prime factors of 6380 are 2, 5, 11,29. Prime factorization of 6380 in exponential form is:

6380 = 22×51×111×291

Prime Factorization of 6386


2 6386
31 3193
103 103
1

Prime factors of 6386 are 2, 31,103. Prime factorization of 6386 in exponential form is:

6386 = 21×311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6380 and 6386.

LCM(6380,6386) = 22×51×111×291×311×1031
LCM(6380,6386) = 20371340

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380

Factors of 6386

List of positive integer factors of 6386 that divides 6386 without a remainder.

1, 2, 31, 62, 103, 206, 3193, 6386

Least Common Multiple of 6380 and 6386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6380 and 6386, than apply into the LCM equation.

GCF(6380,6386) = 2
LCM(6380,6386) = ( 6380 × 6386) / 2
LCM(6380,6386) = 40742680 / 2
LCM(6380,6386) = 20371340

Properties of LCM 6380 and 6386

(i) The LCM of 6386 and 6380 is associative

LCM of 6380 and 6386 = LCM of 6386 and 6380

Related Least Common Multiples of 6380

Related Least Common Multiples of 6386

Frequently Asked Questions on LCM of 6380 and 6386

1. What is the LCM of 6380 and 6386?

Answer: LCM of 6380 and 6386 is 20371340.

2. What are the Factors of 6380?

Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.

3. What are the Factors of 6386?

Answer: Factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386. There are 8 integers that are factors of 6386. The greatest factor of 6386 is 6386.

4. How to Find the LCM of 6380 and 6386?

Answer:

Least Common Multiple of 6380 and 6386 = 20371340

Step 1: Find the prime factorization of 6380

6380 = 2 x 2 x 5 x 11 x 29

Step 2: Find the prime factorization of 6386

6386 = 2 x 31 x 103

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

LCM = 20371340 = 2 x 2 x 5 x 11 x 29 x 31 x 103

Step 4: Therefore, the least common multiple of 6380 and 6386 is 20371340.