Least Common Multiple of 6308 and 6316

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 6316 the smallest integer that is 9960332 that is divisible by both numbers.

Least Common Multiple (LCM) of 6308 and 6316 is 9960332.

LCM(6308,6316) = 9960332

LCM of 6308 and 6316

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

LCM of:
and

Least Common Multiple of 6308 and 6316

LCM of 6308 and 6316 is 9960332

Least common multiple can be found by multiplying the highest exponent prime factors of 6308 and 6316. First we will calculate the prime factors of 6308 and 6316.

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 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

Now multiplying the highest exponent prime factors to calculate the LCM of 6308 and 6316.

LCM(6308,6316) = 22×191×831×15791
LCM(6308,6316) = 9960332

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 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1, 2, 4, 1579, 3158, 6316

Least Common Multiple of 6308 and 6316 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 6316, than apply into the LCM equation.

GCF(6308,6316) = 4
LCM(6308,6316) = ( 6308 × 6316) / 4
LCM(6308,6316) = 39841328 / 4
LCM(6308,6316) = 9960332

Properties of LCM 6308 and 6316

(i) The LCM of 6316 and 6308 is associative

LCM of 6308 and 6316 = LCM of 6316 and 6308

Related Least Common Multiples of 6308

Related Least Common Multiples of 6316

Frequently Asked Questions on LCM of 6308 and 6316

1. What is the LCM of 6308 and 6316?

Answer: LCM of 6308 and 6316 is 9960332.

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 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

4. How to Find the LCM of 6308 and 6316?

Answer:

Least Common Multiple of 6308 and 6316 = 9960332

Step 1: Find the prime factorization of 6308

6308 = 2 x 2 x 19 x 83

Step 2: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

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

LCM = 9960332 = 2 x 2 x 19 x 83 x 1579

Step 4: Therefore, the least common multiple of 6308 and 6316 is 9960332.