Least Common Multiple of 6316 and 6320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6316 and 6320 the smallest integer that is 9979280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6316 and 6320 is 9979280.

LCM(6316,6320) = 9979280

LCM of 6316 and 6320

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

LCM of:
and

Least Common Multiple of 6316 and 6320

LCM of 6316 and 6320 is 9979280

Least common multiple can be found by multiplying the highest exponent prime factors of 6316 and 6320. First we will calculate the prime factors of 6316 and 6320.

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

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2, 5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6316 and 6320.

LCM(6316,6320) = 24×51×791×15791
LCM(6316,6320) = 9979280

Factors of 6316

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

1, 2, 4, 1579, 3158, 6316

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320

Least Common Multiple of 6316 and 6320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6316 and 6320, than apply into the LCM equation.

GCF(6316,6320) = 4
LCM(6316,6320) = ( 6316 × 6320) / 4
LCM(6316,6320) = 39917120 / 4
LCM(6316,6320) = 9979280

Properties of LCM 6316 and 6320

(i) The LCM of 6320 and 6316 is associative

LCM of 6316 and 6320 = LCM of 6320 and 6316

Related Least Common Multiples of 6316

Related Least Common Multiples of 6320

Frequently Asked Questions on LCM of 6316 and 6320

1. What is the LCM of 6316 and 6320?

Answer: LCM of 6316 and 6320 is 9979280.

2. 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.

3. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

4. How to Find the LCM of 6316 and 6320?

Answer:

Least Common Multiple of 6316 and 6320 = 9979280

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

Step 2: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

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

LCM = 9979280 = 2 x 2 x 2 x 2 x 5 x 79 x 1579

Step 4: Therefore, the least common multiple of 6316 and 6320 is 9979280.