Least Common Multiple of 173 and 177

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 177 the smallest integer that is 30621 that is divisible by both numbers.

Least Common Multiple (LCM) of 173 and 177 is 30621.

LCM(173,177) = 30621

LCM of 173 and 177

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

LCM of:
and

Least Common Multiple of 173 and 177

LCM of 173 and 177 is 30621

Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 177. First we will calculate the prime factors of 173 and 177.

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 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 173 and 177.

LCM(173,177) = 31×591×1731
LCM(173,177) = 30621

Factors of 173

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

1, 173

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Least Common Multiple of 173 and 177 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 177, than apply into the LCM equation.

GCF(173,177) = 1
LCM(173,177) = ( 173 × 177) / 1
LCM(173,177) = 30621 / 1
LCM(173,177) = 30621

Properties of LCM 173 and 177

(i) The LCM of 177 and 173 is associative

LCM of 173 and 177 = LCM of 177 and 173

Related Least Common Multiples of 173

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 173 and 177

1. What is the LCM of 173 and 177?

Answer: LCM of 173 and 177 is 30621.

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 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

4. How to Find the LCM of 173 and 177?

Answer:

Least Common Multiple of 173 and 177 = 30621

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 177

177 = 3 x 59

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

LCM = 30621 = 3 x 59 x 173

Step 4: Therefore, the least common multiple of 173 and 177 is 30621.