Least Common Multiple of 159 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 159 and 163 the smallest integer that is 25917 that is divisible by both numbers.

Least Common Multiple (LCM) of 159 and 163 is 25917.

LCM(159,163) = 25917

LCM of 159 and 163

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

LCM of:
and

Least Common Multiple of 159 and 163

LCM of 159 and 163 is 25917

Least common multiple can be found by multiplying the highest exponent prime factors of 159 and 163. First we will calculate the prime factors of 159 and 163.

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 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 159 and 163.

LCM(159,163) = 31×531×1631
LCM(159,163) = 25917

Factors of 159

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

1, 3, 53, 159

Factors of 163

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

1, 163

Least Common Multiple of 159 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 159 and 163, than apply into the LCM equation.

GCF(159,163) = 1
LCM(159,163) = ( 159 × 163) / 1
LCM(159,163) = 25917 / 1
LCM(159,163) = 25917

Properties of LCM 159 and 163

(i) The LCM of 163 and 159 is associative

LCM of 159 and 163 = LCM of 163 and 159

Related Least Common Multiples of 159

Related Least Common Multiples of 163

Frequently Asked Questions on LCM of 159 and 163

1. What is the LCM of 159 and 163?

Answer: LCM of 159 and 163 is 25917.

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 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 159 and 163?

Answer:

Least Common Multiple of 159 and 163 = 25917

Step 1: Find the prime factorization of 159

159 = 3 x 53

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 = 25917 = 3 x 53 x 163

Step 4: Therefore, the least common multiple of 159 and 163 is 25917.