Least Common Multiple of 8172 and 8176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8172 and 8176 the smallest integer that is 16703568 that is divisible by both numbers.

Least Common Multiple (LCM) of 8172 and 8176 is 16703568.

LCM(8172,8176) = 16703568

LCM of 8172 and 8176

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

LCM of:
and

Least Common Multiple of 8172 and 8176

LCM of 8172 and 8176 is 16703568

Least common multiple can be found by multiplying the highest exponent prime factors of 8172 and 8176. First we will calculate the prime factors of 8172 and 8176.

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

Prime Factorization of 8176


2 8176
2 4088
2 2044
2 1022
7 511
73 73
1

Prime factors of 8176 are 2, 7,73. Prime factorization of 8176 in exponential form is:

8176 = 24×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8176.

LCM(8172,8176) = 24×32×71×731×2271
LCM(8172,8176) = 16703568

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

Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176

Least Common Multiple of 8172 and 8176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8176, than apply into the LCM equation.

GCF(8172,8176) = 4
LCM(8172,8176) = ( 8172 × 8176) / 4
LCM(8172,8176) = 66814272 / 4
LCM(8172,8176) = 16703568

Properties of LCM 8172 and 8176

(i) The LCM of 8176 and 8172 is associative

LCM of 8172 and 8176 = LCM of 8176 and 8172

Related Least Common Multiples of 8172

Related Least Common Multiples of 8176

Frequently Asked Questions on LCM of 8172 and 8176

1. What is the LCM of 8172 and 8176?

Answer: LCM of 8172 and 8176 is 16703568.

2. 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.

3. What are the Factors of 8176?

Answer: Factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176. There are 20 integers that are factors of 8176. The greatest factor of 8176 is 8176.

4. How to Find the LCM of 8172 and 8176?

Answer:

Least Common Multiple of 8172 and 8176 = 16703568

Step 1: Find the prime factorization of 8172

8172 = 2 x 2 x 3 x 3 x 227

Step 2: Find the prime factorization of 8176

8176 = 2 x 2 x 2 x 2 x 7 x 73

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

LCM = 16703568 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 73 x 227

Step 4: Therefore, the least common multiple of 8172 and 8176 is 16703568.