Least Common Multiple of 8170 and 8173

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 8173 the smallest integer that is 66773410 that is divisible by both numbers.

Least Common Multiple (LCM) of 8170 and 8173 is 66773410.

LCM(8170,8173) = 66773410

LCM of 8170 and 8173

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

LCM of:
and

Least Common Multiple of 8170 and 8173

LCM of 8170 and 8173 is 66773410

Least common multiple can be found by multiplying the highest exponent prime factors of 8170 and 8173. First we will calculate the prime factors of 8170 and 8173.

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 8173


11 8173
743 743
1

Prime factors of 8173 are 11,743. Prime factorization of 8173 in exponential form is:

8173 = 111×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 8170 and 8173.

LCM(8170,8173) = 21×51×111×191×431×7431
LCM(8170,8173) = 66773410

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 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1, 11, 743, 8173

Least Common Multiple of 8170 and 8173 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 8173, than apply into the LCM equation.

GCF(8170,8173) = 1
LCM(8170,8173) = ( 8170 × 8173) / 1
LCM(8170,8173) = 66773410 / 1
LCM(8170,8173) = 66773410

Properties of LCM 8170 and 8173

(i) The LCM of 8173 and 8170 is associative

LCM of 8170 and 8173 = LCM of 8173 and 8170

Related Least Common Multiples of 8170

Related Least Common Multiples of 8173

Frequently Asked Questions on LCM of 8170 and 8173

1. What is the LCM of 8170 and 8173?

Answer: LCM of 8170 and 8173 is 66773410.

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 8173?

Answer: Factors of 8173 are 1, 11, 743, 8173. There are 4 integers that are factors of 8173. The greatest factor of 8173 is 8173.

4. How to Find the LCM of 8170 and 8173?

Answer:

Least Common Multiple of 8170 and 8173 = 66773410

Step 1: Find the prime factorization of 8170

8170 = 2 x 5 x 19 x 43

Step 2: Find the prime factorization of 8173

8173 = 11 x 743

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

LCM = 66773410 = 2 x 5 x 11 x 19 x 43 x 743

Step 4: Therefore, the least common multiple of 8170 and 8173 is 66773410.