Least Common Multiple of 161 and 162

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 162 the smallest integer that is 26082 that is divisible by both numbers.

Least Common Multiple (LCM) of 161 and 162 is 26082.

LCM(161,162) = 26082

LCM of 161 and 162

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

LCM of:
and

Least Common Multiple of 161 and 162

LCM of 161 and 162 is 26082

Least common multiple can be found by multiplying the highest exponent prime factors of 161 and 162. First we will calculate the prime factors of 161 and 162.

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 162


2 162
3 81
3 27
3 9
3 3
1

Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:

162 = 21×34

Now multiplying the highest exponent prime factors to calculate the LCM of 161 and 162.

LCM(161,162) = 21×34×71×231
LCM(161,162) = 26082

Factors of 161

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

1, 7, 23, 161

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Least Common Multiple of 161 and 162 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 162, than apply into the LCM equation.

GCF(161,162) = 1
LCM(161,162) = ( 161 × 162) / 1
LCM(161,162) = 26082 / 1
LCM(161,162) = 26082

Properties of LCM 161 and 162

(i) The LCM of 162 and 161 is associative

LCM of 161 and 162 = LCM of 162 and 161

Related Least Common Multiples of 161

Related Least Common Multiples of 162

Frequently Asked Questions on LCM of 161 and 162

1. What is the LCM of 161 and 162?

Answer: LCM of 161 and 162 is 26082.

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 162?

Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

4. How to Find the LCM of 161 and 162?

Answer:

Least Common Multiple of 161 and 162 = 26082

Step 1: Find the prime factorization of 161

161 = 7 x 23

Step 2: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

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

LCM = 26082 = 2 x 3 x 3 x 3 x 3 x 7 x 23

Step 4: Therefore, the least common multiple of 161 and 162 is 26082.