Least Common Multiple of 8176 and 8181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8176 and 8181 the smallest integer that is 66887856 that is divisible by both numbers.

Least Common Multiple (LCM) of 8176 and 8181 is 66887856.

LCM(8176,8181) = 66887856

LCM of 8176 and 8181

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

LCM of:
and

Least Common Multiple of 8176 and 8181

LCM of 8176 and 8181 is 66887856

Least common multiple can be found by multiplying the highest exponent prime factors of 8176 and 8181. First we will calculate the prime factors of 8176 and 8181.

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

Prime Factorization of 8181


3 8181
3 2727
3 909
3 303
101 101
1

Prime factors of 8181 are 3,101. Prime factorization of 8181 in exponential form is:

8181 = 34×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8176 and 8181.

LCM(8176,8181) = 24×34×71×731×1011
LCM(8176,8181) = 66887856

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

Factors of 8181

List of positive integer factors of 8181 that divides 8181 without a remainder.

1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181

Least Common Multiple of 8176 and 8181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8176 and 8181, than apply into the LCM equation.

GCF(8176,8181) = 1
LCM(8176,8181) = ( 8176 × 8181) / 1
LCM(8176,8181) = 66887856 / 1
LCM(8176,8181) = 66887856

Properties of LCM 8176 and 8181

(i) The LCM of 8181 and 8176 is associative

LCM of 8176 and 8181 = LCM of 8181 and 8176

Related Least Common Multiples of 8176

Related Least Common Multiples of 8181

Frequently Asked Questions on LCM of 8176 and 8181

1. What is the LCM of 8176 and 8181?

Answer: LCM of 8176 and 8181 is 66887856.

2. 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.

3. What are the Factors of 8181?

Answer: Factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181. There are 10 integers that are factors of 8181. The greatest factor of 8181 is 8181.

4. How to Find the LCM of 8176 and 8181?

Answer:

Least Common Multiple of 8176 and 8181 = 66887856

Step 1: Find the prime factorization of 8176

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

Step 2: Find the prime factorization of 8181

8181 = 3 x 3 x 3 x 3 x 101

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

LCM = 66887856 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 73 x 101

Step 4: Therefore, the least common multiple of 8176 and 8181 is 66887856.