Least Common Multiple of 176 and 182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 176 and 182 the smallest integer that is 16016 that is divisible by both numbers.

Least Common Multiple (LCM) of 176 and 182 is 16016.

LCM(176,182) = 16016

LCM of 176 and 182

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

LCM of:
and

Least Common Multiple of 176 and 182

LCM of 176 and 182 is 16016

Least common multiple can be found by multiplying the highest exponent prime factors of 176 and 182. First we will calculate the prime factors of 176 and 182.

Prime Factorization of 176


2 176
2 88
2 44
2 22
11 11
1

Prime factors of 176 are 2,11. Prime factorization of 176 in exponential form is:

176 = 24×111

Prime Factorization of 182


2 182
7 91
13 13
1

Prime factors of 182 are 2, 7,13. Prime factorization of 182 in exponential form is:

182 = 21×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 176 and 182.

LCM(176,182) = 24×71×111×131
LCM(176,182) = 16016

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Least Common Multiple of 176 and 182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 176 and 182, than apply into the LCM equation.

GCF(176,182) = 2
LCM(176,182) = ( 176 × 182) / 2
LCM(176,182) = 32032 / 2
LCM(176,182) = 16016

Properties of LCM 176 and 182

(i) The LCM of 182 and 176 is associative

LCM of 176 and 182 = LCM of 182 and 176

Related Least Common Multiples of 176

Related Least Common Multiples of 182

Frequently Asked Questions on LCM of 176 and 182

1. What is the LCM of 176 and 182?

Answer: LCM of 176 and 182 is 16016.

2. What are the Factors of 176?

Answer: Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. There are 10 integers that are factors of 176. The greatest factor of 176 is 176.

3. What are the Factors of 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

4. How to Find the LCM of 176 and 182?

Answer:

Least Common Multiple of 176 and 182 = 16016

Step 1: Find the prime factorization of 176

176 = 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 182

182 = 2 x 7 x 13

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

LCM = 16016 = 2 x 2 x 2 x 2 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 176 and 182 is 16016.