Least Common Multiple of 6337 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 6337 and 6345 the smallest integer that is 40208265 that is divisible by both numbers.

Least Common Multiple (LCM) of 6337 and 6345 is 40208265.

LCM(6337,6345) = 40208265

LCM of 6337 and 6345

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

LCM of:
and

Least Common Multiple of 6337 and 6345

LCM of 6337 and 6345 is 40208265

Least common multiple can be found by multiplying the highest exponent prime factors of 6337 and 6345. First we will calculate the prime factors of 6337 and 6345.

Prime Factorization of 6337


6337 6337
1

Prime factors of 6337 are 6337. Prime factorization of 6337 in exponential form is:

6337 = 63371

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 6337 and 6345.

LCM(6337,6345) = 33×51×471×63371
LCM(6337,6345) = 40208265

Factors of 6337

List of positive integer factors of 6337 that divides 6337 without a remainder.

1, 6337

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 6337 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 6337 and 6345, than apply into the LCM equation.

GCF(6337,6345) = 1
LCM(6337,6345) = ( 6337 × 6345) / 1
LCM(6337,6345) = 40208265 / 1
LCM(6337,6345) = 40208265

Properties of LCM 6337 and 6345

(i) The LCM of 6345 and 6337 is associative

LCM of 6337 and 6345 = LCM of 6345 and 6337

Related Least Common Multiples of 6337

Related Least Common Multiples of 6345

Frequently Asked Questions on LCM of 6337 and 6345

1. What is the LCM of 6337 and 6345?

Answer: LCM of 6337 and 6345 is 40208265.

2. What are the Factors of 6337?

Answer: Factors of 6337 are 1, 6337. There are 2 integers that are factors of 6337. The greatest factor of 6337 is 6337.

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 6337 and 6345?

Answer:

Least Common Multiple of 6337 and 6345 = 40208265

Step 1: Find the prime factorization of 6337

6337 = 6337

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 = 40208265 = 3 x 3 x 3 x 5 x 47 x 6337

Step 4: Therefore, the least common multiple of 6337 and 6345 is 40208265.