Least Common Multiple of 173 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 173 and 176 the smallest integer that is 30448 that is divisible by both numbers.

Least Common Multiple (LCM) of 173 and 176 is 30448.

LCM(173,176) = 30448

LCM of 173 and 176

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

LCM of:
and

Least Common Multiple of 173 and 176

LCM of 173 and 176 is 30448

Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 176. First we will calculate the prime factors of 173 and 176.

Prime Factorization of 173


173 173
1

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

173 = 1731

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 173 and 176.

LCM(173,176) = 24×111×1731
LCM(173,176) = 30448

Factors of 173

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

1, 173

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 173 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 173 and 176, than apply into the LCM equation.

GCF(173,176) = 1
LCM(173,176) = ( 173 × 176) / 1
LCM(173,176) = 30448 / 1
LCM(173,176) = 30448

Properties of LCM 173 and 176

(i) The LCM of 176 and 173 is associative

LCM of 173 and 176 = LCM of 176 and 173

Related Least Common Multiples of 173

Related Least Common Multiples of 176

Frequently Asked Questions on LCM of 173 and 176

1. What is the LCM of 173 and 176?

Answer: LCM of 173 and 176 is 30448.

2. 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.

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 173 and 176?

Answer:

Least Common Multiple of 173 and 176 = 30448

Step 1: Find the prime factorization of 173

173 = 173

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 = 30448 = 2 x 2 x 2 x 2 x 11 x 173

Step 4: Therefore, the least common multiple of 173 and 176 is 30448.