Least Common Multiple of 159 and 167

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 167 the smallest integer that is 26553 that is divisible by both numbers.

Least Common Multiple (LCM) of 159 and 167 is 26553.

LCM(159,167) = 26553

LCM of 159 and 167

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

LCM of:
and

Least Common Multiple of 159 and 167

LCM of 159 and 167 is 26553

Least common multiple can be found by multiplying the highest exponent prime factors of 159 and 167. First we will calculate the prime factors of 159 and 167.

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 167


167 167
1

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 159 and 167.

LCM(159,167) = 31×531×1671
LCM(159,167) = 26553

Factors of 159

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

1, 3, 53, 159

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1, 167

Least Common Multiple of 159 and 167 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 167, than apply into the LCM equation.

GCF(159,167) = 1
LCM(159,167) = ( 159 × 167) / 1
LCM(159,167) = 26553 / 1
LCM(159,167) = 26553

Properties of LCM 159 and 167

(i) The LCM of 167 and 159 is associative

LCM of 159 and 167 = LCM of 167 and 159

Related Least Common Multiples of 159

Related Least Common Multiples of 167

Frequently Asked Questions on LCM of 159 and 167

1. What is the LCM of 159 and 167?

Answer: LCM of 159 and 167 is 26553.

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 167?

Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.

4. How to Find the LCM of 159 and 167?

Answer:

Least Common Multiple of 159 and 167 = 26553

Step 1: Find the prime factorization of 159

159 = 3 x 53

Step 2: Find the prime factorization of 167

167 = 167

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

LCM = 26553 = 3 x 53 x 167

Step 4: Therefore, the least common multiple of 159 and 167 is 26553.