Least Common Multiple of 8175 and 8180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8175 and 8180 the smallest integer that is 13374300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8175 and 8180 is 13374300.

LCM(8175,8180) = 13374300

LCM of 8175 and 8180

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

LCM of:
and

Least Common Multiple of 8175 and 8180

LCM of 8175 and 8180 is 13374300

Least common multiple can be found by multiplying the highest exponent prime factors of 8175 and 8180. First we will calculate the prime factors of 8175 and 8180.

Prime Factorization of 8175


3 8175
5 2725
5 545
109 109
1

Prime factors of 8175 are 3, 5,109. Prime factorization of 8175 in exponential form is:

8175 = 31×52×1091

Prime Factorization of 8180


2 8180
2 4090
5 2045
409 409
1

Prime factors of 8180 are 2, 5,409. Prime factorization of 8180 in exponential form is:

8180 = 22×51×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 8175 and 8180.

LCM(8175,8180) = 22×31×52×1091×4091
LCM(8175,8180) = 13374300

Factors of 8175

List of positive integer factors of 8175 that divides 8175 without a remainder.

1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175

Factors of 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180

Least Common Multiple of 8175 and 8180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8175 and 8180, than apply into the LCM equation.

GCF(8175,8180) = 5
LCM(8175,8180) = ( 8175 × 8180) / 5
LCM(8175,8180) = 66871500 / 5
LCM(8175,8180) = 13374300

Properties of LCM 8175 and 8180

(i) The LCM of 8180 and 8175 is associative

LCM of 8175 and 8180 = LCM of 8180 and 8175

Related Least Common Multiples of 8175

Related Least Common Multiples of 8180

Frequently Asked Questions on LCM of 8175 and 8180

1. What is the LCM of 8175 and 8180?

Answer: LCM of 8175 and 8180 is 13374300.

2. What are the Factors of 8175?

Answer: Factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175. There are 12 integers that are factors of 8175. The greatest factor of 8175 is 8175.

3. What are the Factors of 8180?

Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.

4. How to Find the LCM of 8175 and 8180?

Answer:

Least Common Multiple of 8175 and 8180 = 13374300

Step 1: Find the prime factorization of 8175

8175 = 3 x 5 x 5 x 109

Step 2: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

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

LCM = 13374300 = 2 x 2 x 3 x 5 x 5 x 109 x 409

Step 4: Therefore, the least common multiple of 8175 and 8180 is 13374300.