Least Common Multiple of 8315 and 8319

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 8319 the smallest integer that is 69172485 that is divisible by both numbers.

Least Common Multiple (LCM) of 8315 and 8319 is 69172485.

LCM(8315,8319) = 69172485

LCM of 8315 and 8319

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

LCM of:
and

Least Common Multiple of 8315 and 8319

LCM of 8315 and 8319 is 69172485

Least common multiple can be found by multiplying the highest exponent prime factors of 8315 and 8319. First we will calculate the prime factors of 8315 and 8319.

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 8319


3 8319
47 2773
59 59
1

Prime factors of 8319 are 3, 47,59. Prime factorization of 8319 in exponential form is:

8319 = 31×471×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8315 and 8319.

LCM(8315,8319) = 31×51×471×591×16631
LCM(8315,8319) = 69172485

Factors of 8315

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

1, 5, 1663, 8315

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1, 3, 47, 59, 141, 177, 2773, 8319

Least Common Multiple of 8315 and 8319 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 8319, than apply into the LCM equation.

GCF(8315,8319) = 1
LCM(8315,8319) = ( 8315 × 8319) / 1
LCM(8315,8319) = 69172485 / 1
LCM(8315,8319) = 69172485

Properties of LCM 8315 and 8319

(i) The LCM of 8319 and 8315 is associative

LCM of 8315 and 8319 = LCM of 8319 and 8315

Related Least Common Multiples of 8315

Related Least Common Multiples of 8319

Frequently Asked Questions on LCM of 8315 and 8319

1. What is the LCM of 8315 and 8319?

Answer: LCM of 8315 and 8319 is 69172485.

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 8319?

Answer: Factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319. There are 8 integers that are factors of 8319. The greatest factor of 8319 is 8319.

4. How to Find the LCM of 8315 and 8319?

Answer:

Least Common Multiple of 8315 and 8319 = 69172485

Step 1: Find the prime factorization of 8315

8315 = 5 x 1663

Step 2: Find the prime factorization of 8319

8319 = 3 x 47 x 59

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

LCM = 69172485 = 3 x 5 x 47 x 59 x 1663

Step 4: Therefore, the least common multiple of 8315 and 8319 is 69172485.