Least Common Multiple of 168 and 173

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 173 the smallest integer that is 29064 that is divisible by both numbers.

Least Common Multiple (LCM) of 168 and 173 is 29064.

LCM(168,173) = 29064

LCM of 168 and 173

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

LCM of:
and

Least Common Multiple of 168 and 173

LCM of 168 and 173 is 29064

Least common multiple can be found by multiplying the highest exponent prime factors of 168 and 173. First we will calculate the prime factors of 168 and 173.

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 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 168 and 173.

LCM(168,173) = 23×31×71×1731
LCM(168,173) = 29064

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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1, 173

Least Common Multiple of 168 and 173 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 173, than apply into the LCM equation.

GCF(168,173) = 1
LCM(168,173) = ( 168 × 173) / 1
LCM(168,173) = 29064 / 1
LCM(168,173) = 29064

Properties of LCM 168 and 173

(i) The LCM of 173 and 168 is associative

LCM of 168 and 173 = LCM of 173 and 168

Related Least Common Multiples of 168

Related Least Common Multiples of 173

Frequently Asked Questions on LCM of 168 and 173

1. What is the LCM of 168 and 173?

Answer: LCM of 168 and 173 is 29064.

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 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the LCM of 168 and 173?

Answer:

Least Common Multiple of 168 and 173 = 29064

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 173

173 = 173

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

LCM = 29064 = 2 x 2 x 2 x 3 x 7 x 173

Step 4: Therefore, the least common multiple of 168 and 173 is 29064.