Least Common Multiple of 6308 and 6313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6308 and 6313 the smallest integer that is 39822404 that is divisible by both numbers.

Least Common Multiple (LCM) of 6308 and 6313 is 39822404.

LCM(6308,6313) = 39822404

LCM of 6308 and 6313

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

LCM of:
and

Least Common Multiple of 6308 and 6313

LCM of 6308 and 6313 is 39822404

Least common multiple can be found by multiplying the highest exponent prime factors of 6308 and 6313. First we will calculate the prime factors of 6308 and 6313.

Prime Factorization of 6308


2 6308
2 3154
19 1577
83 83
1

Prime factors of 6308 are 2, 19,83. Prime factorization of 6308 in exponential form is:

6308 = 22×191×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6308 and 6313.

LCM(6308,6313) = 22×191×591×831×1071
LCM(6308,6313) = 39822404

Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154, 6308

Factors of 6313

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

1, 59, 107, 6313

Least Common Multiple of 6308 and 6313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6308 and 6313, than apply into the LCM equation.

GCF(6308,6313) = 1
LCM(6308,6313) = ( 6308 × 6313) / 1
LCM(6308,6313) = 39822404 / 1
LCM(6308,6313) = 39822404

Properties of LCM 6308 and 6313

(i) The LCM of 6313 and 6308 is associative

LCM of 6308 and 6313 = LCM of 6313 and 6308

Related Least Common Multiples of 6308

Related Least Common Multiples of 6313

Frequently Asked Questions on LCM of 6308 and 6313

1. What is the LCM of 6308 and 6313?

Answer: LCM of 6308 and 6313 is 39822404.

2. What are the Factors of 6308?

Answer: Factors of 6308 are 1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154, 6308. There are 12 integers that are factors of 6308. The greatest factor of 6308 is 6308.

3. 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.

4. How to Find the LCM of 6308 and 6313?

Answer:

Least Common Multiple of 6308 and 6313 = 39822404

Step 1: Find the prime factorization of 6308

6308 = 2 x 2 x 19 x 83

Step 2: Find the prime factorization of 6313

6313 = 59 x 107

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

LCM = 39822404 = 2 x 2 x 19 x 59 x 83 x 107

Step 4: Therefore, the least common multiple of 6308 and 6313 is 39822404.