Least Common Multiple of 6340 and 6342

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 6342 the smallest integer that is 20104140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6340 and 6342 is 20104140.

LCM(6340,6342) = 20104140

LCM of 6340 and 6342

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

LCM of:
and

Least Common Multiple of 6340 and 6342

LCM of 6340 and 6342 is 20104140

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6342. First we will calculate the prime factors of 6340 and 6342.

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 6342


2 6342
3 3171
7 1057
151 151
1

Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:

6342 = 21×31×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6342.

LCM(6340,6342) = 22×31×51×71×1511×3171
LCM(6340,6342) = 20104140

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 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

Least Common Multiple of 6340 and 6342 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 6342, than apply into the LCM equation.

GCF(6340,6342) = 2
LCM(6340,6342) = ( 6340 × 6342) / 2
LCM(6340,6342) = 40208280 / 2
LCM(6340,6342) = 20104140

Properties of LCM 6340 and 6342

(i) The LCM of 6342 and 6340 is associative

LCM of 6340 and 6342 = LCM of 6342 and 6340

Related Least Common Multiples of 6340

Related Least Common Multiples of 6342

Frequently Asked Questions on LCM of 6340 and 6342

1. What is the LCM of 6340 and 6342?

Answer: LCM of 6340 and 6342 is 20104140.

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 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

4. How to Find the LCM of 6340 and 6342?

Answer:

Least Common Multiple of 6340 and 6342 = 20104140

Step 1: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

Step 2: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

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

LCM = 20104140 = 2 x 2 x 3 x 5 x 7 x 151 x 317

Step 4: Therefore, the least common multiple of 6340 and 6342 is 20104140.