Least Common Multiple of 163 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 163 and 170 the smallest integer that is 27710 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 170 is 27710.

LCM(163,170) = 27710

LCM of 163 and 170

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

LCM of:
and

Least Common Multiple of 163 and 170

LCM of 163 and 170 is 27710

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 170. First we will calculate the prime factors of 163 and 170.

Prime Factorization of 163


163 163
1

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 1631

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 163 and 170.

LCM(163,170) = 21×51×171×1631
LCM(163,170) = 27710

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1, 163

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 163 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 163 and 170, than apply into the LCM equation.

GCF(163,170) = 1
LCM(163,170) = ( 163 × 170) / 1
LCM(163,170) = 27710 / 1
LCM(163,170) = 27710

Properties of LCM 163 and 170

(i) The LCM of 170 and 163 is associative

LCM of 163 and 170 = LCM of 170 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 163 and 170

1. What is the LCM of 163 and 170?

Answer: LCM of 163 and 170 is 27710.

2. What are the Factors of 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

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 163 and 170?

Answer:

Least Common Multiple of 163 and 170 = 27710

Step 1: Find the prime factorization of 163

163 = 163

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 = 27710 = 2 x 5 x 17 x 163

Step 4: Therefore, the least common multiple of 163 and 170 is 27710.