Least Common Multiple of 161 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 161 and 165 the smallest integer that is 26565 that is divisible by both numbers.

Least Common Multiple (LCM) of 161 and 165 is 26565.

LCM(161,165) = 26565

LCM of 161 and 165

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

LCM of:
and

Least Common Multiple of 161 and 165

LCM of 161 and 165 is 26565

Least common multiple can be found by multiplying the highest exponent prime factors of 161 and 165. First we will calculate the prime factors of 161 and 165.

Prime Factorization of 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

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 161 and 165.

LCM(161,165) = 31×51×71×111×231
LCM(161,165) = 26565

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1, 7, 23, 161

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 161 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 161 and 165, than apply into the LCM equation.

GCF(161,165) = 1
LCM(161,165) = ( 161 × 165) / 1
LCM(161,165) = 26565 / 1
LCM(161,165) = 26565

Properties of LCM 161 and 165

(i) The LCM of 165 and 161 is associative

LCM of 161 and 165 = LCM of 165 and 161

Related Least Common Multiples of 161

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 161 and 165

1. What is the LCM of 161 and 165?

Answer: LCM of 161 and 165 is 26565.

2. What are the Factors of 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

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 161 and 165?

Answer:

Least Common Multiple of 161 and 165 = 26565

Step 1: Find the prime factorization of 161

161 = 7 x 23

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 = 26565 = 3 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 161 and 165 is 26565.