Least Common Multiple of 168 and 176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 168 and 176 the smallest integer that is 3696 that is divisible by both numbers.

Least Common Multiple (LCM) of 168 and 176 is 3696.

LCM(168,176) = 3696

LCM of 168 and 176

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

LCM of:
and

Least Common Multiple of 168 and 176

LCM of 168 and 176 is 3696

Least common multiple can be found by multiplying the highest exponent prime factors of 168 and 176. First we will calculate the prime factors of 168 and 176.

Prime Factorization of 168


2 168
2 84
2 42
3 21
7 7
1

Prime factors of 168 are 2, 3,7. Prime factorization of 168 in exponential form is:

168 = 23×31×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 168 and 176.

LCM(168,176) = 24×31×71×111
LCM(168,176) = 3696

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

Least Common Multiple of 168 and 176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 168 and 176, than apply into the LCM equation.

GCF(168,176) = 8
LCM(168,176) = ( 168 × 176) / 8
LCM(168,176) = 29568 / 8
LCM(168,176) = 3696

Properties of LCM 168 and 176

(i) The LCM of 176 and 168 is associative

LCM of 168 and 176 = LCM of 176 and 168

Related Least Common Multiples of 168

Related Least Common Multiples of 176

Frequently Asked Questions on LCM of 168 and 176

1. What is the LCM of 168 and 176?

Answer: LCM of 168 and 176 is 3696.

2. What are the Factors of 168?

Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.

3. 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.

4. How to Find the LCM of 168 and 176?

Answer:

Least Common Multiple of 168 and 176 = 3696

Step 1: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 176

176 = 2 x 2 x 2 x 2 x 11

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

LCM = 3696 = 2 x 2 x 2 x 2 x 3 x 7 x 11

Step 4: Therefore, the least common multiple of 168 and 176 is 3696.