Least Common Multiple of 8170 and 8175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8170 and 8175 the smallest integer that is 13357950 that is divisible by both numbers.

Least Common Multiple (LCM) of 8170 and 8175 is 13357950.

LCM(8170,8175) = 13357950

LCM of 8170 and 8175

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

LCM of:
and

Least Common Multiple of 8170 and 8175

LCM of 8170 and 8175 is 13357950

Least common multiple can be found by multiplying the highest exponent prime factors of 8170 and 8175. First we will calculate the prime factors of 8170 and 8175.

Prime Factorization of 8170


2 8170
5 4085
19 817
43 43
1

Prime factors of 8170 are 2, 5, 19,43. Prime factorization of 8170 in exponential form is:

8170 = 21×51×191×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8170 and 8175.

LCM(8170,8175) = 21×31×52×191×431×1091
LCM(8170,8175) = 13357950

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170

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

Least Common Multiple of 8170 and 8175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8170 and 8175, than apply into the LCM equation.

GCF(8170,8175) = 5
LCM(8170,8175) = ( 8170 × 8175) / 5
LCM(8170,8175) = 66789750 / 5
LCM(8170,8175) = 13357950

Properties of LCM 8170 and 8175

(i) The LCM of 8175 and 8170 is associative

LCM of 8170 and 8175 = LCM of 8175 and 8170

Related Least Common Multiples of 8170

Related Least Common Multiples of 8175

Frequently Asked Questions on LCM of 8170 and 8175

1. What is the LCM of 8170 and 8175?

Answer: LCM of 8170 and 8175 is 13357950.

2. What are the Factors of 8170?

Answer: Factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170. There are 16 integers that are factors of 8170. The greatest factor of 8170 is 8170.

3. 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.

4. How to Find the LCM of 8170 and 8175?

Answer:

Least Common Multiple of 8170 and 8175 = 13357950

Step 1: Find the prime factorization of 8170

8170 = 2 x 5 x 19 x 43

Step 2: Find the prime factorization of 8175

8175 = 3 x 5 x 5 x 109

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

LCM = 13357950 = 2 x 3 x 5 x 5 x 19 x 43 x 109

Step 4: Therefore, the least common multiple of 8170 and 8175 is 13357950.