Least Common Multiple of 172 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 172 and 177 the smallest integer that is 30444 that is divisible by both numbers.

Least Common Multiple (LCM) of 172 and 177 is 30444.

LCM(172,177) = 30444

LCM of 172 and 177

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

LCM of:
and

Least Common Multiple of 172 and 177

LCM of 172 and 177 is 30444

Least common multiple can be found by multiplying the highest exponent prime factors of 172 and 177. First we will calculate the prime factors of 172 and 177.

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 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 172 and 177.

LCM(172,177) = 22×31×431×591
LCM(172,177) = 30444

Factors of 172

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

1, 2, 4, 43, 86, 172

Factors of 177

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

1, 3, 59, 177

Least Common Multiple of 172 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 172 and 177, than apply into the LCM equation.

GCF(172,177) = 1
LCM(172,177) = ( 172 × 177) / 1
LCM(172,177) = 30444 / 1
LCM(172,177) = 30444

Properties of LCM 172 and 177

(i) The LCM of 177 and 172 is associative

LCM of 172 and 177 = LCM of 177 and 172

Related Least Common Multiples of 172

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 172 and 177

1. What is the LCM of 172 and 177?

Answer: LCM of 172 and 177 is 30444.

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 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 172 and 177?

Answer:

Least Common Multiple of 172 and 177 = 30444

Step 1: Find the prime factorization of 172

172 = 2 x 2 x 43

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 = 30444 = 2 x 2 x 3 x 43 x 59

Step 4: Therefore, the least common multiple of 172 and 177 is 30444.