Least Common Multiple of 159 and 161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 159 and 161 the smallest integer that is 25599 that is divisible by both numbers.

Least Common Multiple (LCM) of 159 and 161 is 25599.

LCM(159,161) = 25599

LCM of 159 and 161

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

LCM of:
and

Least Common Multiple of 159 and 161

LCM of 159 and 161 is 25599

Least common multiple can be found by multiplying the highest exponent prime factors of 159 and 161. First we will calculate the prime factors of 159 and 161.

Prime Factorization of 159


3 159
53 53
1

Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:

159 = 31×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 159 and 161.

LCM(159,161) = 31×71×231×531
LCM(159,161) = 25599

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Factors of 161

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

1, 7, 23, 161

Least Common Multiple of 159 and 161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 159 and 161, than apply into the LCM equation.

GCF(159,161) = 1
LCM(159,161) = ( 159 × 161) / 1
LCM(159,161) = 25599 / 1
LCM(159,161) = 25599

Properties of LCM 159 and 161

(i) The LCM of 161 and 159 is associative

LCM of 159 and 161 = LCM of 161 and 159

Related Least Common Multiples of 159

Related Least Common Multiples of 161

Frequently Asked Questions on LCM of 159 and 161

1. What is the LCM of 159 and 161?

Answer: LCM of 159 and 161 is 25599.

2. What are the Factors of 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

3. 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.

4. How to Find the LCM of 159 and 161?

Answer:

Least Common Multiple of 159 and 161 = 25599

Step 1: Find the prime factorization of 159

159 = 3 x 53

Step 2: Find the prime factorization of 161

161 = 7 x 23

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

LCM = 25599 = 3 x 7 x 23 x 53

Step 4: Therefore, the least common multiple of 159 and 161 is 25599.