Least Common Multiple of 8310 and 8315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8310 and 8315 the smallest integer that is 13819530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8310 and 8315 is 13819530.

LCM(8310,8315) = 13819530

LCM of 8310 and 8315

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

LCM of:
and

Least Common Multiple of 8310 and 8315

LCM of 8310 and 8315 is 13819530

Least common multiple can be found by multiplying the highest exponent prime factors of 8310 and 8315. First we will calculate the prime factors of 8310 and 8315.

Prime Factorization of 8310


2 8310
3 4155
5 1385
277 277
1

Prime factors of 8310 are 2, 3, 5,277. Prime factorization of 8310 in exponential form is:

8310 = 21×31×51×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8310 and 8315.

LCM(8310,8315) = 21×31×51×2771×16631
LCM(8310,8315) = 13819530

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310

Factors of 8315

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

1, 5, 1663, 8315

Least Common Multiple of 8310 and 8315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8310 and 8315, than apply into the LCM equation.

GCF(8310,8315) = 5
LCM(8310,8315) = ( 8310 × 8315) / 5
LCM(8310,8315) = 69097650 / 5
LCM(8310,8315) = 13819530

Properties of LCM 8310 and 8315

(i) The LCM of 8315 and 8310 is associative

LCM of 8310 and 8315 = LCM of 8315 and 8310

Related Least Common Multiples of 8310

Related Least Common Multiples of 8315

Frequently Asked Questions on LCM of 8310 and 8315

1. What is the LCM of 8310 and 8315?

Answer: LCM of 8310 and 8315 is 13819530.

2. What are the Factors of 8310?

Answer: Factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310. There are 16 integers that are factors of 8310. The greatest factor of 8310 is 8310.

3. 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.

4. How to Find the LCM of 8310 and 8315?

Answer:

Least Common Multiple of 8310 and 8315 = 13819530

Step 1: Find the prime factorization of 8310

8310 = 2 x 3 x 5 x 277

Step 2: Find the prime factorization of 8315

8315 = 5 x 1663

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

LCM = 13819530 = 2 x 3 x 5 x 277 x 1663

Step 4: Therefore, the least common multiple of 8310 and 8315 is 13819530.