Least Common Multiple of 170 and 174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 170 and 174 the smallest integer that is 14790 that is divisible by both numbers.

Least Common Multiple (LCM) of 170 and 174 is 14790.

LCM(170,174) = 14790

LCM of 170 and 174

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

LCM of:
and

Least Common Multiple of 170 and 174

LCM of 170 and 174 is 14790

Least common multiple can be found by multiplying the highest exponent prime factors of 170 and 174. First we will calculate the prime factors of 170 and 174.

Prime Factorization of 170


2 170
5 85
17 17
1

Prime factors of 170 are 2, 5,17. Prime factorization of 170 in exponential form is:

170 = 21×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 170 and 174.

LCM(170,174) = 21×31×51×171×291
LCM(170,174) = 14790

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Factors of 174

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

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

Least Common Multiple of 170 and 174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 170 and 174, than apply into the LCM equation.

GCF(170,174) = 2
LCM(170,174) = ( 170 × 174) / 2
LCM(170,174) = 29580 / 2
LCM(170,174) = 14790

Properties of LCM 170 and 174

(i) The LCM of 174 and 170 is associative

LCM of 170 and 174 = LCM of 174 and 170

Related Least Common Multiples of 170

Related Least Common Multiples of 174

Frequently Asked Questions on LCM of 170 and 174

1. What is the LCM of 170 and 174?

Answer: LCM of 170 and 174 is 14790.

2. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

3. 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.

4. How to Find the LCM of 170 and 174?

Answer:

Least Common Multiple of 170 and 174 = 14790

Step 1: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 2: Find the prime factorization of 174

174 = 2 x 3 x 29

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

LCM = 14790 = 2 x 3 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 170 and 174 is 14790.