Least Common Multiple of 175 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 175 and 177 the smallest integer that is 30975 that is divisible by both numbers.

Least Common Multiple (LCM) of 175 and 177 is 30975.

LCM(175,177) = 30975

LCM of 175 and 177

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

LCM of:
and

Least Common Multiple of 175 and 177

LCM of 175 and 177 is 30975

Least common multiple can be found by multiplying the highest exponent prime factors of 175 and 177. First we will calculate the prime factors of 175 and 177.

Prime Factorization of 175


5 175
5 35
7 7
1

Prime factors of 175 are 5,7. Prime factorization of 175 in exponential form is:

175 = 52×71

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 175 and 177.

LCM(175,177) = 31×52×71×591
LCM(175,177) = 30975

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Factors of 177

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

1, 3, 59, 177

Least Common Multiple of 175 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 175 and 177, than apply into the LCM equation.

GCF(175,177) = 1
LCM(175,177) = ( 175 × 177) / 1
LCM(175,177) = 30975 / 1
LCM(175,177) = 30975

Properties of LCM 175 and 177

(i) The LCM of 177 and 175 is associative

LCM of 175 and 177 = LCM of 177 and 175

Related Least Common Multiples of 175

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 175 and 177

1. What is the LCM of 175 and 177?

Answer: LCM of 175 and 177 is 30975.

2. What are the Factors of 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.

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 175 and 177?

Answer:

Least Common Multiple of 175 and 177 = 30975

Step 1: Find the prime factorization of 175

175 = 5 x 5 x 7

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 = 30975 = 3 x 5 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 175 and 177 is 30975.