Least Common Multiple of 8176 and 8182

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 8182 the smallest integer that is 33448016 that is divisible by both numbers.

Least Common Multiple (LCM) of 8176 and 8182 is 33448016.

LCM(8176,8182) = 33448016

LCM of 8176 and 8182

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

LCM of:
and

Least Common Multiple of 8176 and 8182

LCM of 8176 and 8182 is 33448016

Least common multiple can be found by multiplying the highest exponent prime factors of 8176 and 8182. First we will calculate the prime factors of 8176 and 8182.

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 8182


2 8182
4091 4091
1

Prime factors of 8182 are 2,4091. Prime factorization of 8182 in exponential form is:

8182 = 21×40911

Now multiplying the highest exponent prime factors to calculate the LCM of 8176 and 8182.

LCM(8176,8182) = 24×71×731×40911
LCM(8176,8182) = 33448016

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 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1, 2, 4091, 8182

Least Common Multiple of 8176 and 8182 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 8182, than apply into the LCM equation.

GCF(8176,8182) = 2
LCM(8176,8182) = ( 8176 × 8182) / 2
LCM(8176,8182) = 66896032 / 2
LCM(8176,8182) = 33448016

Properties of LCM 8176 and 8182

(i) The LCM of 8182 and 8176 is associative

LCM of 8176 and 8182 = LCM of 8182 and 8176

Related Least Common Multiples of 8176

Related Least Common Multiples of 8182

Frequently Asked Questions on LCM of 8176 and 8182

1. What is the LCM of 8176 and 8182?

Answer: LCM of 8176 and 8182 is 33448016.

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 8182?

Answer: Factors of 8182 are 1, 2, 4091, 8182. There are 4 integers that are factors of 8182. The greatest factor of 8182 is 8182.

4. How to Find the LCM of 8176 and 8182?

Answer:

Least Common Multiple of 8176 and 8182 = 33448016

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 8182

8182 = 2 x 4091

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

LCM = 33448016 = 2 x 2 x 2 x 2 x 7 x 73 x 4091

Step 4: Therefore, the least common multiple of 8176 and 8182 is 33448016.