Least Common Multiple of 163 and 166

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 166 the smallest integer that is 27058 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 166 is 27058.

LCM(163,166) = 27058

LCM of 163 and 166

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

LCM of:
and

Least Common Multiple of 163 and 166

LCM of 163 and 166 is 27058

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 166. First we will calculate the prime factors of 163 and 166.

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 166


2 166
83 83
1

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

166 = 21×831

Now multiplying the highest exponent prime factors to calculate the LCM of 163 and 166.

LCM(163,166) = 21×831×1631
LCM(163,166) = 27058

Factors of 163

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

1, 163

Factors of 166

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

1, 2, 83, 166

Least Common Multiple of 163 and 166 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 166, than apply into the LCM equation.

GCF(163,166) = 1
LCM(163,166) = ( 163 × 166) / 1
LCM(163,166) = 27058 / 1
LCM(163,166) = 27058

Properties of LCM 163 and 166

(i) The LCM of 166 and 163 is associative

LCM of 163 and 166 = LCM of 166 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 166

Frequently Asked Questions on LCM of 163 and 166

1. What is the LCM of 163 and 166?

Answer: LCM of 163 and 166 is 27058.

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 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.

4. How to Find the LCM of 163 and 166?

Answer:

Least Common Multiple of 163 and 166 = 27058

Step 1: Find the prime factorization of 163

163 = 163

Step 2: Find the prime factorization of 166

166 = 2 x 83

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

LCM = 27058 = 2 x 83 x 163

Step 4: Therefore, the least common multiple of 163 and 166 is 27058.