Least Common Multiple of 163 and 165

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 165 the smallest integer that is 26895 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 165 is 26895.

LCM(163,165) = 26895

LCM of 163 and 165

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

LCM of:
and

Least Common Multiple of 163 and 165

LCM of 163 and 165 is 26895

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 165. First we will calculate the prime factors of 163 and 165.

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 165


3 165
5 55
11 11
1

Prime factors of 165 are 3, 5,11. Prime factorization of 165 in exponential form is:

165 = 31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 163 and 165.

LCM(163,165) = 31×51×111×1631
LCM(163,165) = 26895

Factors of 163

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

1, 163

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Least Common Multiple of 163 and 165 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 165, than apply into the LCM equation.

GCF(163,165) = 1
LCM(163,165) = ( 163 × 165) / 1
LCM(163,165) = 26895 / 1
LCM(163,165) = 26895

Properties of LCM 163 and 165

(i) The LCM of 165 and 163 is associative

LCM of 163 and 165 = LCM of 165 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 163 and 165

1. What is the LCM of 163 and 165?

Answer: LCM of 163 and 165 is 26895.

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 165?

Answer: Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165. There are 8 integers that are factors of 165. The greatest factor of 165 is 165.

4. How to Find the LCM of 163 and 165?

Answer:

Least Common Multiple of 163 and 165 = 26895

Step 1: Find the prime factorization of 163

163 = 163

Step 2: Find the prime factorization of 165

165 = 3 x 5 x 11

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

LCM = 26895 = 3 x 5 x 11 x 163

Step 4: Therefore, the least common multiple of 163 and 165 is 26895.