Least Common Multiple of 8172 and 8179

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 8179 the smallest integer that is 66838788 that is divisible by both numbers.

Least Common Multiple (LCM) of 8172 and 8179 is 66838788.

LCM(8172,8179) = 66838788

LCM of 8172 and 8179

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

LCM of:
and

Least Common Multiple of 8172 and 8179

LCM of 8172 and 8179 is 66838788

Least common multiple can be found by multiplying the highest exponent prime factors of 8172 and 8179. First we will calculate the prime factors of 8172 and 8179.

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 8179


8179 8179
1

Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:

8179 = 81791

Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8179.

LCM(8172,8179) = 22×32×2271×81791
LCM(8172,8179) = 66838788

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 8179

List of positive integer factors of 8179 that divides 8179 without a remainder.

1, 8179

Least Common Multiple of 8172 and 8179 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 8179, than apply into the LCM equation.

GCF(8172,8179) = 1
LCM(8172,8179) = ( 8172 × 8179) / 1
LCM(8172,8179) = 66838788 / 1
LCM(8172,8179) = 66838788

Properties of LCM 8172 and 8179

(i) The LCM of 8179 and 8172 is associative

LCM of 8172 and 8179 = LCM of 8179 and 8172

Related Least Common Multiples of 8172

Related Least Common Multiples of 8179

Frequently Asked Questions on LCM of 8172 and 8179

1. What is the LCM of 8172 and 8179?

Answer: LCM of 8172 and 8179 is 66838788.

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 8179?

Answer: Factors of 8179 are 1, 8179. There are 2 integers that are factors of 8179. The greatest factor of 8179 is 8179.

4. How to Find the LCM of 8172 and 8179?

Answer:

Least Common Multiple of 8172 and 8179 = 66838788

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 8179

8179 = 8179

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

LCM = 66838788 = 2 x 2 x 3 x 3 x 227 x 8179

Step 4: Therefore, the least common multiple of 8172 and 8179 is 66838788.