Least Common Multiple of 8176 and 8183

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 8183 the smallest integer that is 9557744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8176 and 8183 is 9557744.

LCM(8176,8183) = 9557744

LCM of 8176 and 8183

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

LCM of:
and

Least Common Multiple of 8176 and 8183

LCM of 8176 and 8183 is 9557744

Least common multiple can be found by multiplying the highest exponent prime factors of 8176 and 8183. First we will calculate the prime factors of 8176 and 8183.

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 8183


7 8183
7 1169
167 167
1

Prime factors of 8183 are 7,167. Prime factorization of 8183 in exponential form is:

8183 = 72×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8176 and 8183.

LCM(8176,8183) = 24×72×731×1671
LCM(8176,8183) = 9557744

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 8183

List of positive integer factors of 8183 that divides 8183 without a remainder.

1, 7, 49, 167, 1169, 8183

Least Common Multiple of 8176 and 8183 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 8183, than apply into the LCM equation.

GCF(8176,8183) = 7
LCM(8176,8183) = ( 8176 × 8183) / 7
LCM(8176,8183) = 66904208 / 7
LCM(8176,8183) = 9557744

Properties of LCM 8176 and 8183

(i) The LCM of 8183 and 8176 is associative

LCM of 8176 and 8183 = LCM of 8183 and 8176

Related Least Common Multiples of 8176

Related Least Common Multiples of 8183

Frequently Asked Questions on LCM of 8176 and 8183

1. What is the LCM of 8176 and 8183?

Answer: LCM of 8176 and 8183 is 9557744.

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 8183?

Answer: Factors of 8183 are 1, 7, 49, 167, 1169, 8183. There are 6 integers that are factors of 8183. The greatest factor of 8183 is 8183.

4. How to Find the LCM of 8176 and 8183?

Answer:

Least Common Multiple of 8176 and 8183 = 9557744

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 8183

8183 = 7 x 7 x 167

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

LCM = 9557744 = 2 x 2 x 2 x 2 x 7 x 7 x 73 x 167

Step 4: Therefore, the least common multiple of 8176 and 8183 is 9557744.