Least Common Multiple of 6340 and 6347

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 6347 the smallest integer that is 40239980 that is divisible by both numbers.

Least Common Multiple (LCM) of 6340 and 6347 is 40239980.

LCM(6340,6347) = 40239980

LCM of 6340 and 6347

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

LCM of:
and

Least Common Multiple of 6340 and 6347

LCM of 6340 and 6347 is 40239980

Least common multiple can be found by multiplying the highest exponent prime factors of 6340 and 6347. First we will calculate the prime factors of 6340 and 6347.

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 6347


11 6347
577 577
1

Prime factors of 6347 are 11,577. Prime factorization of 6347 in exponential form is:

6347 = 111×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 6340 and 6347.

LCM(6340,6347) = 22×51×111×3171×5771
LCM(6340,6347) = 40239980

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 6347

List of positive integer factors of 6347 that divides 6347 without a remainder.

1, 11, 577, 6347

Least Common Multiple of 6340 and 6347 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 6347, than apply into the LCM equation.

GCF(6340,6347) = 1
LCM(6340,6347) = ( 6340 × 6347) / 1
LCM(6340,6347) = 40239980 / 1
LCM(6340,6347) = 40239980

Properties of LCM 6340 and 6347

(i) The LCM of 6347 and 6340 is associative

LCM of 6340 and 6347 = LCM of 6347 and 6340

Related Least Common Multiples of 6340

Related Least Common Multiples of 6347

Frequently Asked Questions on LCM of 6340 and 6347

1. What is the LCM of 6340 and 6347?

Answer: LCM of 6340 and 6347 is 40239980.

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 6347?

Answer: Factors of 6347 are 1, 11, 577, 6347. There are 4 integers that are factors of 6347. The greatest factor of 6347 is 6347.

4. How to Find the LCM of 6340 and 6347?

Answer:

Least Common Multiple of 6340 and 6347 = 40239980

Step 1: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

Step 2: Find the prime factorization of 6347

6347 = 11 x 577

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

LCM = 40239980 = 2 x 2 x 5 x 11 x 317 x 577

Step 4: Therefore, the least common multiple of 6340 and 6347 is 40239980.