Least Common Multiple of 8176 and 8184

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 8184 the smallest integer that is 8364048 that is divisible by both numbers.

Least Common Multiple (LCM) of 8176 and 8184 is 8364048.

LCM(8176,8184) = 8364048

LCM of 8176 and 8184

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

LCM of:
and

Least Common Multiple of 8176 and 8184

LCM of 8176 and 8184 is 8364048

Least common multiple can be found by multiplying the highest exponent prime factors of 8176 and 8184. First we will calculate the prime factors of 8176 and 8184.

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 8184


2 8184
2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 8184 are 2, 3, 11,31. Prime factorization of 8184 in exponential form is:

8184 = 23×31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8176 and 8184.

LCM(8176,8184) = 24×31×71×111×311×731
LCM(8176,8184) = 8364048

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 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184

Least Common Multiple of 8176 and 8184 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 8184, than apply into the LCM equation.

GCF(8176,8184) = 8
LCM(8176,8184) = ( 8176 × 8184) / 8
LCM(8176,8184) = 66912384 / 8
LCM(8176,8184) = 8364048

Properties of LCM 8176 and 8184

(i) The LCM of 8184 and 8176 is associative

LCM of 8176 and 8184 = LCM of 8184 and 8176

Related Least Common Multiples of 8176

Related Least Common Multiples of 8184

Frequently Asked Questions on LCM of 8176 and 8184

1. What is the LCM of 8176 and 8184?

Answer: LCM of 8176 and 8184 is 8364048.

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 8184?

Answer: Factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184. There are 32 integers that are factors of 8184. The greatest factor of 8184 is 8184.

4. How to Find the LCM of 8176 and 8184?

Answer:

Least Common Multiple of 8176 and 8184 = 8364048

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 8184

8184 = 2 x 2 x 2 x 3 x 11 x 31

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

LCM = 8364048 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 31 x 73

Step 4: Therefore, the least common multiple of 8176 and 8184 is 8364048.