Least Common Multiple of 6315 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 6315 and 6320 the smallest integer that is 7982160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6315 and 6320 is 7982160.

LCM(6315,6320) = 7982160

LCM of 6315 and 6320

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

LCM of:
and

Least Common Multiple of 6315 and 6320

LCM of 6315 and 6320 is 7982160

Least common multiple can be found by multiplying the highest exponent prime factors of 6315 and 6320. First we will calculate the prime factors of 6315 and 6320.

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

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 6315 and 6320.

LCM(6315,6320) = 24×31×51×791×4211
LCM(6315,6320) = 7982160

Factors of 6315

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

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

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 6315 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 6315 and 6320, than apply into the LCM equation.

GCF(6315,6320) = 5
LCM(6315,6320) = ( 6315 × 6320) / 5
LCM(6315,6320) = 39910800 / 5
LCM(6315,6320) = 7982160

Properties of LCM 6315 and 6320

(i) The LCM of 6320 and 6315 is associative

LCM of 6315 and 6320 = LCM of 6320 and 6315

Related Least Common Multiples of 6315

Related Least Common Multiples of 6320

Frequently Asked Questions on LCM of 6315 and 6320

1. What is the LCM of 6315 and 6320?

Answer: LCM of 6315 and 6320 is 7982160.

2. 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.

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 6315 and 6320?

Answer:

Least Common Multiple of 6315 and 6320 = 7982160

Step 1: Find the prime factorization of 6315

6315 = 3 x 5 x 421

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 = 7982160 = 2 x 2 x 2 x 2 x 3 x 5 x 79 x 421

Step 4: Therefore, the least common multiple of 6315 and 6320 is 7982160.