Least Common Multiple of 174 and 176

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 176 the smallest integer that is 15312 that is divisible by both numbers.

Least Common Multiple (LCM) of 174 and 176 is 15312.

LCM(174,176) = 15312

LCM of 174 and 176

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

LCM of:
and

Least Common Multiple of 174 and 176

LCM of 174 and 176 is 15312

Least common multiple can be found by multiplying the highest exponent prime factors of 174 and 176. First we will calculate the prime factors of 174 and 176.

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 176


2 176
2 88
2 44
2 22
11 11
1

Prime factors of 176 are 2,11. Prime factorization of 176 in exponential form is:

176 = 24×111

Now multiplying the highest exponent prime factors to calculate the LCM of 174 and 176.

LCM(174,176) = 24×31×111×291
LCM(174,176) = 15312

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 176

List of positive integer factors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Least Common Multiple of 174 and 176 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 176, than apply into the LCM equation.

GCF(174,176) = 2
LCM(174,176) = ( 174 × 176) / 2
LCM(174,176) = 30624 / 2
LCM(174,176) = 15312

Properties of LCM 174 and 176

(i) The LCM of 176 and 174 is associative

LCM of 174 and 176 = LCM of 176 and 174

Related Least Common Multiples of 174

Related Least Common Multiples of 176

Frequently Asked Questions on LCM of 174 and 176

1. What is the LCM of 174 and 176?

Answer: LCM of 174 and 176 is 15312.

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 176?

Answer: Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. There are 10 integers that are factors of 176. The greatest factor of 176 is 176.

4. How to Find the LCM of 174 and 176?

Answer:

Least Common Multiple of 174 and 176 = 15312

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

Step 2: Find the prime factorization of 176

176 = 2 x 2 x 2 x 2 x 11

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

LCM = 15312 = 2 x 2 x 2 x 2 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 174 and 176 is 15312.