Least Common Multiple of 159 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 159 and 164 the smallest integer that is 26076 that is divisible by both numbers.

Least Common Multiple (LCM) of 159 and 164 is 26076.

LCM(159,164) = 26076

LCM of 159 and 164

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

LCM of:
and

Least Common Multiple of 159 and 164

LCM of 159 and 164 is 26076

Least common multiple can be found by multiplying the highest exponent prime factors of 159 and 164. First we will calculate the prime factors of 159 and 164.

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 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 159 and 164.

LCM(159,164) = 22×31×411×531
LCM(159,164) = 26076

Factors of 159

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

1, 3, 53, 159

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 159 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 159 and 164, than apply into the LCM equation.

GCF(159,164) = 1
LCM(159,164) = ( 159 × 164) / 1
LCM(159,164) = 26076 / 1
LCM(159,164) = 26076

Properties of LCM 159 and 164

(i) The LCM of 164 and 159 is associative

LCM of 159 and 164 = LCM of 164 and 159

Related Least Common Multiples of 159

Related Least Common Multiples of 164

Frequently Asked Questions on LCM of 159 and 164

1. What is the LCM of 159 and 164?

Answer: LCM of 159 and 164 is 26076.

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 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 159 and 164?

Answer:

Least Common Multiple of 159 and 164 = 26076

Step 1: Find the prime factorization of 159

159 = 3 x 53

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 = 26076 = 2 x 2 x 3 x 41 x 53

Step 4: Therefore, the least common multiple of 159 and 164 is 26076.