Least Common Multiple of 8172 and 8178

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 8178 the smallest integer that is 11138436 that is divisible by both numbers.

Least Common Multiple (LCM) of 8172 and 8178 is 11138436.

LCM(8172,8178) = 11138436

LCM of 8172 and 8178

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

LCM of:
and

Least Common Multiple of 8172 and 8178

LCM of 8172 and 8178 is 11138436

Least common multiple can be found by multiplying the highest exponent prime factors of 8172 and 8178. First we will calculate the prime factors of 8172 and 8178.

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 8178


2 8178
3 4089
29 1363
47 47
1

Prime factors of 8178 are 2, 3, 29,47. Prime factorization of 8178 in exponential form is:

8178 = 21×31×291×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8178.

LCM(8172,8178) = 22×32×291×471×2271
LCM(8172,8178) = 11138436

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 8178

List of positive integer factors of 8178 that divides 8178 without a remainder.

1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178

Least Common Multiple of 8172 and 8178 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 8178, than apply into the LCM equation.

GCF(8172,8178) = 6
LCM(8172,8178) = ( 8172 × 8178) / 6
LCM(8172,8178) = 66830616 / 6
LCM(8172,8178) = 11138436

Properties of LCM 8172 and 8178

(i) The LCM of 8178 and 8172 is associative

LCM of 8172 and 8178 = LCM of 8178 and 8172

Related Least Common Multiples of 8172

Related Least Common Multiples of 8178

Frequently Asked Questions on LCM of 8172 and 8178

1. What is the LCM of 8172 and 8178?

Answer: LCM of 8172 and 8178 is 11138436.

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 8178?

Answer: Factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178. There are 16 integers that are factors of 8178. The greatest factor of 8178 is 8178.

4. How to Find the LCM of 8172 and 8178?

Answer:

Least Common Multiple of 8172 and 8178 = 11138436

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 8178

8178 = 2 x 3 x 29 x 47

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

LCM = 11138436 = 2 x 2 x 3 x 3 x 29 x 47 x 227

Step 4: Therefore, the least common multiple of 8172 and 8178 is 11138436.