Least Common Multiple of 161 and 163

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 163 the smallest integer that is 26243 that is divisible by both numbers.

Least Common Multiple (LCM) of 161 and 163 is 26243.

LCM(161,163) = 26243

LCM of 161 and 163

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

LCM of:
and

Least Common Multiple of 161 and 163

LCM of 161 and 163 is 26243

Least common multiple can be found by multiplying the highest exponent prime factors of 161 and 163. First we will calculate the prime factors of 161 and 163.

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 163


163 163
1

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 161 and 163.

LCM(161,163) = 71×231×1631
LCM(161,163) = 26243

Factors of 161

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

1, 7, 23, 161

Factors of 163

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

1, 163

Least Common Multiple of 161 and 163 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 163, than apply into the LCM equation.

GCF(161,163) = 1
LCM(161,163) = ( 161 × 163) / 1
LCM(161,163) = 26243 / 1
LCM(161,163) = 26243

Properties of LCM 161 and 163

(i) The LCM of 163 and 161 is associative

LCM of 161 and 163 = LCM of 163 and 161

Related Least Common Multiples of 161

Related Least Common Multiples of 163

Frequently Asked Questions on LCM of 161 and 163

1. What is the LCM of 161 and 163?

Answer: LCM of 161 and 163 is 26243.

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 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

4. How to Find the LCM of 161 and 163?

Answer:

Least Common Multiple of 161 and 163 = 26243

Step 1: Find the prime factorization of 161

161 = 7 x 23

Step 2: Find the prime factorization of 163

163 = 163

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

LCM = 26243 = 7 x 23 x 163

Step 4: Therefore, the least common multiple of 161 and 163 is 26243.