Least Common Multiple of 168 and 170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 168 and 170 the smallest integer that is 14280 that is divisible by both numbers.

Least Common Multiple (LCM) of 168 and 170 is 14280.

LCM(168,170) = 14280

LCM of 168 and 170

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

LCM of:
and

Least Common Multiple of 168 and 170

LCM of 168 and 170 is 14280

Least common multiple can be found by multiplying the highest exponent prime factors of 168 and 170. First we will calculate the prime factors of 168 and 170.

Prime Factorization of 168


2 168
2 84
2 42
3 21
7 7
1

Prime factors of 168 are 2, 3,7. Prime factorization of 168 in exponential form is:

168 = 23×31×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 168 and 170.

LCM(168,170) = 23×31×51×71×171
LCM(168,170) = 14280

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Factors of 170

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

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

Least Common Multiple of 168 and 170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 168 and 170, than apply into the LCM equation.

GCF(168,170) = 2
LCM(168,170) = ( 168 × 170) / 2
LCM(168,170) = 28560 / 2
LCM(168,170) = 14280

Properties of LCM 168 and 170

(i) The LCM of 170 and 168 is associative

LCM of 168 and 170 = LCM of 170 and 168

Related Least Common Multiples of 168

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 168 and 170

1. What is the LCM of 168 and 170?

Answer: LCM of 168 and 170 is 14280.

2. What are the Factors of 168?

Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.

3. 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.

4. How to Find the LCM of 168 and 170?

Answer:

Least Common Multiple of 168 and 170 = 14280

Step 1: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 170

170 = 2 x 5 x 17

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

LCM = 14280 = 2 x 2 x 2 x 3 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 168 and 170 is 14280.