Least Common Multiple of 6308 and 6315

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 6315 the smallest integer that is 39835020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6308 and 6315 is 39835020.

LCM(6308,6315) = 39835020

LCM of 6308 and 6315

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

LCM of:
and

Least Common Multiple of 6308 and 6315

LCM of 6308 and 6315 is 39835020

Least common multiple can be found by multiplying the highest exponent prime factors of 6308 and 6315. First we will calculate the prime factors of 6308 and 6315.

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 6315


3 6315
5 2105
421 421
1

Prime factors of 6315 are 3, 5,421. Prime factorization of 6315 in exponential form is:

6315 = 31×51×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 6308 and 6315.

LCM(6308,6315) = 22×31×51×191×831×4211
LCM(6308,6315) = 39835020

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 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1, 3, 5, 15, 421, 1263, 2105, 6315

Least Common Multiple of 6308 and 6315 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 6315, than apply into the LCM equation.

GCF(6308,6315) = 1
LCM(6308,6315) = ( 6308 × 6315) / 1
LCM(6308,6315) = 39835020 / 1
LCM(6308,6315) = 39835020

Properties of LCM 6308 and 6315

(i) The LCM of 6315 and 6308 is associative

LCM of 6308 and 6315 = LCM of 6315 and 6308

Related Least Common Multiples of 6308

Related Least Common Multiples of 6315

Frequently Asked Questions on LCM of 6308 and 6315

1. What is the LCM of 6308 and 6315?

Answer: LCM of 6308 and 6315 is 39835020.

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 6315?

Answer: Factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315. There are 8 integers that are factors of 6315. The greatest factor of 6315 is 6315.

4. How to Find the LCM of 6308 and 6315?

Answer:

Least Common Multiple of 6308 and 6315 = 39835020

Step 1: Find the prime factorization of 6308

6308 = 2 x 2 x 19 x 83

Step 2: Find the prime factorization of 6315

6315 = 3 x 5 x 421

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

LCM = 39835020 = 2 x 2 x 3 x 5 x 19 x 83 x 421

Step 4: Therefore, the least common multiple of 6308 and 6315 is 39835020.