Least Common Multiple of 166 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 166 and 170 the smallest integer that is 14110 that is divisible by both numbers.

Least Common Multiple (LCM) of 166 and 170 is 14110.

LCM(166,170) = 14110

LCM of 166 and 170

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

LCM of:
and

Least Common Multiple of 166 and 170

LCM of 166 and 170 is 14110

Least common multiple can be found by multiplying the highest exponent prime factors of 166 and 170. First we will calculate the prime factors of 166 and 170.

Prime Factorization of 166


2 166
83 83
1

Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:

166 = 21×831

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 166 and 170.

LCM(166,170) = 21×51×171×831
LCM(166,170) = 14110

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 166 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 166 and 170, than apply into the LCM equation.

GCF(166,170) = 2
LCM(166,170) = ( 166 × 170) / 2
LCM(166,170) = 28220 / 2
LCM(166,170) = 14110

Properties of LCM 166 and 170

(i) The LCM of 170 and 166 is associative

LCM of 166 and 170 = LCM of 170 and 166

Related Least Common Multiples of 166

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 166 and 170

1. What is the LCM of 166 and 170?

Answer: LCM of 166 and 170 is 14110.

2. What are the Factors of 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

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 166 and 170?

Answer:

Least Common Multiple of 166 and 170 = 14110

Step 1: Find the prime factorization of 166

166 = 2 x 83

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 = 14110 = 2 x 5 x 17 x 83

Step 4: Therefore, the least common multiple of 166 and 170 is 14110.