Least Common Multiple of 8315 and 8322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8315 and 8322 the smallest integer that is 69197430 that is divisible by both numbers.

Least Common Multiple (LCM) of 8315 and 8322 is 69197430.

LCM(8315,8322) = 69197430

LCM of 8315 and 8322

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

LCM of:
and

Least Common Multiple of 8315 and 8322

LCM of 8315 and 8322 is 69197430

Least common multiple can be found by multiplying the highest exponent prime factors of 8315 and 8322. First we will calculate the prime factors of 8315 and 8322.

Prime Factorization of 8315


5 8315
1663 1663
1

Prime factors of 8315 are 5,1663. Prime factorization of 8315 in exponential form is:

8315 = 51×16631

Prime Factorization of 8322


2 8322
3 4161
19 1387
73 73
1

Prime factors of 8322 are 2, 3, 19,73. Prime factorization of 8322 in exponential form is:

8322 = 21×31×191×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8315 and 8322.

LCM(8315,8322) = 21×31×51×191×731×16631
LCM(8315,8322) = 69197430

Factors of 8315

List of positive integer factors of 8315 that divides 8315 without a remainder.

1, 5, 1663, 8315

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322

Least Common Multiple of 8315 and 8322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8315 and 8322, than apply into the LCM equation.

GCF(8315,8322) = 1
LCM(8315,8322) = ( 8315 × 8322) / 1
LCM(8315,8322) = 69197430 / 1
LCM(8315,8322) = 69197430

Properties of LCM 8315 and 8322

(i) The LCM of 8322 and 8315 is associative

LCM of 8315 and 8322 = LCM of 8322 and 8315

Related Least Common Multiples of 8315

Related Least Common Multiples of 8322

Frequently Asked Questions on LCM of 8315 and 8322

1. What is the LCM of 8315 and 8322?

Answer: LCM of 8315 and 8322 is 69197430.

2. What are the Factors of 8315?

Answer: Factors of 8315 are 1, 5, 1663, 8315. There are 4 integers that are factors of 8315. The greatest factor of 8315 is 8315.

3. What are the Factors of 8322?

Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.

4. How to Find the LCM of 8315 and 8322?

Answer:

Least Common Multiple of 8315 and 8322 = 69197430

Step 1: Find the prime factorization of 8315

8315 = 5 x 1663

Step 2: Find the prime factorization of 8322

8322 = 2 x 3 x 19 x 73

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

LCM = 69197430 = 2 x 3 x 5 x 19 x 73 x 1663

Step 4: Therefore, the least common multiple of 8315 and 8322 is 69197430.