Least Common Multiple of 161 and 164

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 164 the smallest integer that is 26404 that is divisible by both numbers.

Least Common Multiple (LCM) of 161 and 164 is 26404.

LCM(161,164) = 26404

LCM of 161 and 164

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

LCM of:
and

Least Common Multiple of 161 and 164

LCM of 161 and 164 is 26404

Least common multiple can be found by multiplying the highest exponent prime factors of 161 and 164. First we will calculate the prime factors of 161 and 164.

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 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

Now multiplying the highest exponent prime factors to calculate the LCM of 161 and 164.

LCM(161,164) = 22×71×231×411
LCM(161,164) = 26404

Factors of 161

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

1, 7, 23, 161

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Least Common Multiple of 161 and 164 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 164, than apply into the LCM equation.

GCF(161,164) = 1
LCM(161,164) = ( 161 × 164) / 1
LCM(161,164) = 26404 / 1
LCM(161,164) = 26404

Properties of LCM 161 and 164

(i) The LCM of 164 and 161 is associative

LCM of 161 and 164 = LCM of 164 and 161

Related Least Common Multiples of 161

Related Least Common Multiples of 164

Frequently Asked Questions on LCM of 161 and 164

1. What is the LCM of 161 and 164?

Answer: LCM of 161 and 164 is 26404.

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 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

4. How to Find the LCM of 161 and 164?

Answer:

Least Common Multiple of 161 and 164 = 26404

Step 1: Find the prime factorization of 161

161 = 7 x 23

Step 2: Find the prime factorization of 164

164 = 2 x 2 x 41

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

LCM = 26404 = 2 x 2 x 7 x 23 x 41

Step 4: Therefore, the least common multiple of 161 and 164 is 26404.