Least Common Multiple of 172 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 172 and 179 the smallest integer that is 30788 that is divisible by both numbers.

Least Common Multiple (LCM) of 172 and 179 is 30788.

LCM(172,179) = 30788

LCM of 172 and 179

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

LCM of:
and

Least Common Multiple of 172 and 179

LCM of 172 and 179 is 30788

Least common multiple can be found by multiplying the highest exponent prime factors of 172 and 179. First we will calculate the prime factors of 172 and 179.

Prime Factorization of 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

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 172 and 179.

LCM(172,179) = 22×431×1791
LCM(172,179) = 30788

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Factors of 179

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

1, 179

Least Common Multiple of 172 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 172 and 179, than apply into the LCM equation.

GCF(172,179) = 1
LCM(172,179) = ( 172 × 179) / 1
LCM(172,179) = 30788 / 1
LCM(172,179) = 30788

Properties of LCM 172 and 179

(i) The LCM of 179 and 172 is associative

LCM of 172 and 179 = LCM of 179 and 172

Related Least Common Multiples of 172

Related Least Common Multiples of 179

Frequently Asked Questions on LCM of 172 and 179

1. What is the LCM of 172 and 179?

Answer: LCM of 172 and 179 is 30788.

2. What are the Factors of 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

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 172 and 179?

Answer:

Least Common Multiple of 172 and 179 = 30788

Step 1: Find the prime factorization of 172

172 = 2 x 2 x 43

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 = 30788 = 2 x 2 x 43 x 179

Step 4: Therefore, the least common multiple of 172 and 179 is 30788.