Least Common Multiple of 174 and 181

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 181 the smallest integer that is 31494 that is divisible by both numbers.

Least Common Multiple (LCM) of 174 and 181 is 31494.

LCM(174,181) = 31494

LCM of 174 and 181

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

LCM of:
and

Least Common Multiple of 174 and 181

LCM of 174 and 181 is 31494

Least common multiple can be found by multiplying the highest exponent prime factors of 174 and 181. First we will calculate the prime factors of 174 and 181.

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 181


181 181
1

Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:

181 = 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 174 and 181.

LCM(174,181) = 21×31×291×1811
LCM(174,181) = 31494

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 181

List of positive integer factors of 181 that divides 181 without a remainder.

1, 181

Least Common Multiple of 174 and 181 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 181, than apply into the LCM equation.

GCF(174,181) = 1
LCM(174,181) = ( 174 × 181) / 1
LCM(174,181) = 31494 / 1
LCM(174,181) = 31494

Properties of LCM 174 and 181

(i) The LCM of 181 and 174 is associative

LCM of 174 and 181 = LCM of 181 and 174

Related Least Common Multiples of 174

Related Least Common Multiples of 181

Frequently Asked Questions on LCM of 174 and 181

1. What is the LCM of 174 and 181?

Answer: LCM of 174 and 181 is 31494.

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 181?

Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.

4. How to Find the LCM of 174 and 181?

Answer:

Least Common Multiple of 174 and 181 = 31494

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

Step 2: Find the prime factorization of 181

181 = 181

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

LCM = 31494 = 2 x 3 x 29 x 181

Step 4: Therefore, the least common multiple of 174 and 181 is 31494.