Least Common Multiple of 174 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 174 and 177 the smallest integer that is 10266 that is divisible by both numbers.

Least Common Multiple (LCM) of 174 and 177 is 10266.

LCM(174,177) = 10266

LCM of 174 and 177

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

LCM of:
and

Least Common Multiple of 174 and 177

LCM of 174 and 177 is 10266

Least common multiple can be found by multiplying the highest exponent prime factors of 174 and 177. First we will calculate the prime factors of 174 and 177.

Prime Factorization of 174


2 174
3 87
29 29
1

Prime factors of 174 are 2, 3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

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 174 and 177.

LCM(174,177) = 21×31×291×591
LCM(174,177) = 10266

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Factors of 177

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

1, 3, 59, 177

Least Common Multiple of 174 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 174 and 177, than apply into the LCM equation.

GCF(174,177) = 3
LCM(174,177) = ( 174 × 177) / 3
LCM(174,177) = 30798 / 3
LCM(174,177) = 10266

Properties of LCM 174 and 177

(i) The LCM of 177 and 174 is associative

LCM of 174 and 177 = LCM of 177 and 174

Related Least Common Multiples of 174

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 174 and 177

1. What is the LCM of 174 and 177?

Answer: LCM of 174 and 177 is 10266.

2. What are the Factors of 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

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 174 and 177?

Answer:

Least Common Multiple of 174 and 177 = 10266

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

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 = 10266 = 2 x 3 x 29 x 59

Step 4: Therefore, the least common multiple of 174 and 177 is 10266.