Least Common Multiple of 6313 and 6321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 6313 and 6321 the smallest integer that is 39904473 that is divisible by both numbers.

Least Common Multiple (LCM) of 6313 and 6321 is 39904473.

LCM(6313,6321) = 39904473

LCM of 6313 and 6321

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

LCM of:
and

Least Common Multiple of 6313 and 6321

LCM of 6313 and 6321 is 39904473

Least common multiple can be found by multiplying the highest exponent prime factors of 6313 and 6321. First we will calculate the prime factors of 6313 and 6321.

Prime Factorization of 6313


59 6313
107 107
1

Prime factors of 6313 are 59,107. Prime factorization of 6313 in exponential form is:

6313 = 591×1071

Prime Factorization of 6321


3 6321
7 2107
7 301
43 43
1

Prime factors of 6321 are 3, 7,43. Prime factorization of 6321 in exponential form is:

6321 = 31×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6313 and 6321.

LCM(6313,6321) = 31×72×431×591×1071
LCM(6313,6321) = 39904473

Factors of 6313

List of positive integer factors of 6313 that divides 6313 without a remainder.

1, 59, 107, 6313

Factors of 6321

List of positive integer factors of 6321 that divides 6321 without a remainder.

1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321

Least Common Multiple of 6313 and 6321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6313 and 6321, than apply into the LCM equation.

GCF(6313,6321) = 1
LCM(6313,6321) = ( 6313 × 6321) / 1
LCM(6313,6321) = 39904473 / 1
LCM(6313,6321) = 39904473

Properties of LCM 6313 and 6321

(i) The LCM of 6321 and 6313 is associative

LCM of 6313 and 6321 = LCM of 6321 and 6313

Frequently Asked Questions on LCM of 6313 and 6321

1. What is the LCM of 6313 and 6321?

Answer: LCM of 6313 and 6321 is 39904473.

2. What are the Factors of 6313?

Answer: Factors of 6313 are 1, 59, 107, 6313. There are 4 integers that are factors of 6313. The greatest factor of 6313 is 6313.

3. What are the Factors of 6321?

Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.

4. How to Find the LCM of 6313 and 6321?

Answer:

Least Common Multiple of 6313 and 6321 = 39904473

Step 1: Find the prime factorization of 6313

6313 = 59 x 107

Step 2: Find the prime factorization of 6321

6321 = 3 x 7 x 7 x 43

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

LCM = 39904473 = 3 x 7 x 7 x 43 x 59 x 107

Step 4: Therefore, the least common multiple of 6313 and 6321 is 39904473.