Least Common Multiple of 6304 and 6308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6304 and 6308 the smallest integer that is 9941408 that is divisible by both numbers.

Least Common Multiple (LCM) of 6304 and 6308 is 9941408.

LCM(6304,6308) = 9941408

LCM of 6304 and 6308

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

LCM of:
and

Least Common Multiple of 6304 and 6308

LCM of 6304 and 6308 is 9941408

Least common multiple can be found by multiplying the highest exponent prime factors of 6304 and 6308. First we will calculate the prime factors of 6304 and 6308.

Prime Factorization of 6304


2 6304
2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 6304 are 2,197. Prime factorization of 6304 in exponential form is:

6304 = 25×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6304 and 6308.

LCM(6304,6308) = 25×191×831×1971
LCM(6304,6308) = 9941408

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304

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

Least Common Multiple of 6304 and 6308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6304 and 6308, than apply into the LCM equation.

GCF(6304,6308) = 4
LCM(6304,6308) = ( 6304 × 6308) / 4
LCM(6304,6308) = 39765632 / 4
LCM(6304,6308) = 9941408

Properties of LCM 6304 and 6308

(i) The LCM of 6308 and 6304 is associative

LCM of 6304 and 6308 = LCM of 6308 and 6304

Related Least Common Multiples of 6304

Related Least Common Multiples of 6308

Frequently Asked Questions on LCM of 6304 and 6308

1. What is the LCM of 6304 and 6308?

Answer: LCM of 6304 and 6308 is 9941408.

2. What are the Factors of 6304?

Answer: Factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304. There are 12 integers that are factors of 6304. The greatest factor of 6304 is 6304.

3. 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.

4. How to Find the LCM of 6304 and 6308?

Answer:

Least Common Multiple of 6304 and 6308 = 9941408

Step 1: Find the prime factorization of 6304

6304 = 2 x 2 x 2 x 2 x 2 x 197

Step 2: Find the prime factorization of 6308

6308 = 2 x 2 x 19 x 83

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

LCM = 9941408 = 2 x 2 x 2 x 2 x 2 x 19 x 83 x 197

Step 4: Therefore, the least common multiple of 6304 and 6308 is 9941408.