Least Common Multiple of 6315 and 6322

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 6322 the smallest integer that is 39923430 that is divisible by both numbers.

Least Common Multiple (LCM) of 6315 and 6322 is 39923430.

LCM(6315,6322) = 39923430

LCM of 6315 and 6322

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

LCM of:
and

Least Common Multiple of 6315 and 6322

LCM of 6315 and 6322 is 39923430

Least common multiple can be found by multiplying the highest exponent prime factors of 6315 and 6322. First we will calculate the prime factors of 6315 and 6322.

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 6322


2 6322
29 3161
109 109
1

Prime factors of 6322 are 2, 29,109. Prime factorization of 6322 in exponential form is:

6322 = 21×291×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6315 and 6322.

LCM(6315,6322) = 21×31×51×291×1091×4211
LCM(6315,6322) = 39923430

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 6322

List of positive integer factors of 6322 that divides 6322 without a remainder.

1, 2, 29, 58, 109, 218, 3161, 6322

Least Common Multiple of 6315 and 6322 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 6322, than apply into the LCM equation.

GCF(6315,6322) = 1
LCM(6315,6322) = ( 6315 × 6322) / 1
LCM(6315,6322) = 39923430 / 1
LCM(6315,6322) = 39923430

Properties of LCM 6315 and 6322

(i) The LCM of 6322 and 6315 is associative

LCM of 6315 and 6322 = LCM of 6322 and 6315

Related Least Common Multiples of 6315

Related Least Common Multiples of 6322

Frequently Asked Questions on LCM of 6315 and 6322

1. What is the LCM of 6315 and 6322?

Answer: LCM of 6315 and 6322 is 39923430.

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 6322?

Answer: Factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322. There are 8 integers that are factors of 6322. The greatest factor of 6322 is 6322.

4. How to Find the LCM of 6315 and 6322?

Answer:

Least Common Multiple of 6315 and 6322 = 39923430

Step 1: Find the prime factorization of 6315

6315 = 3 x 5 x 421

Step 2: Find the prime factorization of 6322

6322 = 2 x 29 x 109

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

LCM = 39923430 = 2 x 3 x 5 x 29 x 109 x 421

Step 4: Therefore, the least common multiple of 6315 and 6322 is 39923430.