Least Common Multiple of 173 and 178

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 178 the smallest integer that is 30794 that is divisible by both numbers.

Least Common Multiple (LCM) of 173 and 178 is 30794.

LCM(173,178) = 30794

LCM of 173 and 178

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

LCM of:
and

Least Common Multiple of 173 and 178

LCM of 173 and 178 is 30794

Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 178. First we will calculate the prime factors of 173 and 178.

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 178


2 178
89 89
1

Prime factors of 178 are 2,89. Prime factorization of 178 in exponential form is:

178 = 21×891

Now multiplying the highest exponent prime factors to calculate the LCM of 173 and 178.

LCM(173,178) = 21×891×1731
LCM(173,178) = 30794

Factors of 173

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

1, 173

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Least Common Multiple of 173 and 178 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 178, than apply into the LCM equation.

GCF(173,178) = 1
LCM(173,178) = ( 173 × 178) / 1
LCM(173,178) = 30794 / 1
LCM(173,178) = 30794

Properties of LCM 173 and 178

(i) The LCM of 178 and 173 is associative

LCM of 173 and 178 = LCM of 178 and 173

Related Least Common Multiples of 173

Related Least Common Multiples of 178

Frequently Asked Questions on LCM of 173 and 178

1. What is the LCM of 173 and 178?

Answer: LCM of 173 and 178 is 30794.

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 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

4. How to Find the LCM of 173 and 178?

Answer:

Least Common Multiple of 173 and 178 = 30794

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 178

178 = 2 x 89

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

LCM = 30794 = 2 x 89 x 173

Step 4: Therefore, the least common multiple of 173 and 178 is 30794.