Least Common Multiple of 8168 and 8172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8168 and 8172 the smallest integer that is 16687224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8168 and 8172 is 16687224.

LCM(8168,8172) = 16687224

LCM of 8168 and 8172

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

LCM of:
and

Least Common Multiple of 8168 and 8172

LCM of 8168 and 8172 is 16687224

Least common multiple can be found by multiplying the highest exponent prime factors of 8168 and 8172. First we will calculate the prime factors of 8168 and 8172.

Prime Factorization of 8168


2 8168
2 4084
2 2042
1021 1021
1

Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:

8168 = 23×10211

Prime Factorization of 8172


2 8172
2 4086
3 2043
3 681
227 227
1

Prime factors of 8172 are 2, 3,227. Prime factorization of 8172 in exponential form is:

8172 = 22×32×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 8168 and 8172.

LCM(8168,8172) = 23×32×2271×10211
LCM(8168,8172) = 16687224

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1, 2, 4, 8, 1021, 2042, 4084, 8168

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172

Least Common Multiple of 8168 and 8172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8168 and 8172, than apply into the LCM equation.

GCF(8168,8172) = 4
LCM(8168,8172) = ( 8168 × 8172) / 4
LCM(8168,8172) = 66748896 / 4
LCM(8168,8172) = 16687224

Properties of LCM 8168 and 8172

(i) The LCM of 8172 and 8168 is associative

LCM of 8168 and 8172 = LCM of 8172 and 8168

Related Least Common Multiples of 8168

Related Least Common Multiples of 8172

Frequently Asked Questions on LCM of 8168 and 8172

1. What is the LCM of 8168 and 8172?

Answer: LCM of 8168 and 8172 is 16687224.

2. What are the Factors of 8168?

Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.

3. What are the Factors of 8172?

Answer: Factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172. There are 18 integers that are factors of 8172. The greatest factor of 8172 is 8172.

4. How to Find the LCM of 8168 and 8172?

Answer:

Least Common Multiple of 8168 and 8172 = 16687224

Step 1: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

Step 2: Find the prime factorization of 8172

8172 = 2 x 2 x 3 x 3 x 227

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

LCM = 16687224 = 2 x 2 x 2 x 3 x 3 x 227 x 1021

Step 4: Therefore, the least common multiple of 8168 and 8172 is 16687224.