Least Common Multiple of 171 and 179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 171 and 179 the smallest integer that is 30609 that is divisible by both numbers.

Least Common Multiple (LCM) of 171 and 179 is 30609.

LCM(171,179) = 30609

LCM of 171 and 179

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

LCM of:
and

Least Common Multiple of 171 and 179

LCM of 171 and 179 is 30609

Least common multiple can be found by multiplying the highest exponent prime factors of 171 and 179. First we will calculate the prime factors of 171 and 179.

Prime Factorization of 171


3 171
3 57
19 19
1

Prime factors of 171 are 3,19. Prime factorization of 171 in exponential form is:

171 = 32×191

Prime Factorization of 179


179 179
1

Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:

179 = 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 171 and 179.

LCM(171,179) = 32×191×1791
LCM(171,179) = 30609

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1, 179

Least Common Multiple of 171 and 179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 171 and 179, than apply into the LCM equation.

GCF(171,179) = 1
LCM(171,179) = ( 171 × 179) / 1
LCM(171,179) = 30609 / 1
LCM(171,179) = 30609

Properties of LCM 171 and 179

(i) The LCM of 179 and 171 is associative

LCM of 171 and 179 = LCM of 179 and 171

Related Least Common Multiples of 171

Related Least Common Multiples of 179

Frequently Asked Questions on LCM of 171 and 179

1. What is the LCM of 171 and 179?

Answer: LCM of 171 and 179 is 30609.

2. What are the Factors of 171?

Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.

3. What are the Factors of 179?

Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.

4. How to Find the LCM of 171 and 179?

Answer:

Least Common Multiple of 171 and 179 = 30609

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 179

179 = 179

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

LCM = 30609 = 3 x 3 x 19 x 179

Step 4: Therefore, the least common multiple of 171 and 179 is 30609.