Least Common Multiple of 8145 and 8150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8145 and 8150 the smallest integer that is 13276350 that is divisible by both numbers.

Least Common Multiple (LCM) of 8145 and 8150 is 13276350.

LCM(8145,8150) = 13276350

LCM of 8145 and 8150

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

LCM of:
and

Least Common Multiple of 8145 and 8150

LCM of 8145 and 8150 is 13276350

Least common multiple can be found by multiplying the highest exponent prime factors of 8145 and 8150. First we will calculate the prime factors of 8145 and 8150.

Prime Factorization of 8145


3 8145
3 2715
5 905
181 181
1

Prime factors of 8145 are 3, 5,181. Prime factorization of 8145 in exponential form is:

8145 = 32×51×1811

Prime Factorization of 8150


2 8150
5 4075
5 815
163 163
1

Prime factors of 8150 are 2, 5,163. Prime factorization of 8150 in exponential form is:

8150 = 21×52×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 8145 and 8150.

LCM(8145,8150) = 21×32×52×1631×1811
LCM(8145,8150) = 13276350

Factors of 8145

List of positive integer factors of 8145 that divides 8145 without a remainder.

1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145

Factors of 8150

List of positive integer factors of 8150 that divides 8150 without a remainder.

1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150

Least Common Multiple of 8145 and 8150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8145 and 8150, than apply into the LCM equation.

GCF(8145,8150) = 5
LCM(8145,8150) = ( 8145 × 8150) / 5
LCM(8145,8150) = 66381750 / 5
LCM(8145,8150) = 13276350

Properties of LCM 8145 and 8150

(i) The LCM of 8150 and 8145 is associative

LCM of 8145 and 8150 = LCM of 8150 and 8145

Frequently Asked Questions on LCM of 8145 and 8150

1. What is the LCM of 8145 and 8150?

Answer: LCM of 8145 and 8150 is 13276350.

2. What are the Factors of 8145?

Answer: Factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145. There are 12 integers that are factors of 8145. The greatest factor of 8145 is 8145.

3. What are the Factors of 8150?

Answer: Factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150. There are 12 integers that are factors of 8150. The greatest factor of 8150 is 8150.

4. How to Find the LCM of 8145 and 8150?

Answer:

Least Common Multiple of 8145 and 8150 = 13276350

Step 1: Find the prime factorization of 8145

8145 = 3 x 3 x 5 x 181

Step 2: Find the prime factorization of 8150

8150 = 2 x 5 x 5 x 163

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

LCM = 13276350 = 2 x 3 x 3 x 5 x 5 x 163 x 181

Step 4: Therefore, the least common multiple of 8145 and 8150 is 13276350.