Least Common Multiple of 6340 and 6345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6340 and 6345 the smallest integer that is 8045460 that is divisible by both numbers.

Least Common Multiple (LCM) of 6340 and 6345 is 8045460.

LCM(6340,6345) = 8045460

LCM of 6340 and 6345

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

LCM of:
and

Least Common Multiple of 6340 and 6345

LCM of 6340 and 6345 is 8045460

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6345. First we will calculate the prime factors of 6340 and 6345.

Prime Factorization of 6340


2 6340
2 3170
5 1585
317 317
1

Prime factors of 6340 are 2, 5,317. Prime factorization of 6340 in exponential form is:

6340 = 22×51×3171

Prime Factorization of 6345


3 6345
3 2115
3 705
5 235
47 47
1

Prime factors of 6345 are 3, 5,47. Prime factorization of 6345 in exponential form is:

6345 = 33×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6345.

LCM(6340,6345) = 22×33×51×471×3171
LCM(6340,6345) = 8045460

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345

Least Common Multiple of 6340 and 6345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6340 and 6345, than apply into the LCM equation.

GCF(6340,6345) = 5
LCM(6340,6345) = ( 6340 × 6345) / 5
LCM(6340,6345) = 40227300 / 5
LCM(6340,6345) = 8045460

Properties of LCM 6340 and 6345

(i) The LCM of 6345 and 6340 is associative

LCM of 6340 and 6345 = LCM of 6345 and 6340

Related Least Common Multiples of 6340

Related Least Common Multiples of 6345

Frequently Asked Questions on LCM of 6340 and 6345

1. What is the LCM of 6340 and 6345?

Answer: LCM of 6340 and 6345 is 8045460.

2. What are the Factors of 6340?

Answer: Factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340. There are 12 integers that are factors of 6340. The greatest factor of 6340 is 6340.

3. What are the Factors of 6345?

Answer: Factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345. There are 16 integers that are factors of 6345. The greatest factor of 6345 is 6345.

4. How to Find the LCM of 6340 and 6345?

Answer:

Least Common Multiple of 6340 and 6345 = 8045460

Step 1: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

Step 2: Find the prime factorization of 6345

6345 = 3 x 3 x 3 x 5 x 47

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

LCM = 8045460 = 2 x 2 x 3 x 3 x 3 x 5 x 47 x 317

Step 4: Therefore, the least common multiple of 6340 and 6345 is 8045460.