Least Common Multiple of 159 and 160

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 160 the smallest integer that is 25440 that is divisible by both numbers.

Least Common Multiple (LCM) of 159 and 160 is 25440.

LCM(159,160) = 25440

LCM of 159 and 160

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

LCM of:
and

Least Common Multiple of 159 and 160

LCM of 159 and 160 is 25440

Least common multiple can be found by multiplying the highest exponent prime factors of 159 and 160. First we will calculate the prime factors of 159 and 160.

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 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

Now multiplying the highest exponent prime factors to calculate the LCM of 159 and 160.

LCM(159,160) = 25×31×51×531
LCM(159,160) = 25440

Factors of 159

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

1, 3, 53, 159

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Least Common Multiple of 159 and 160 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 160, than apply into the LCM equation.

GCF(159,160) = 1
LCM(159,160) = ( 159 × 160) / 1
LCM(159,160) = 25440 / 1
LCM(159,160) = 25440

Properties of LCM 159 and 160

(i) The LCM of 160 and 159 is associative

LCM of 159 and 160 = LCM of 160 and 159

Related Least Common Multiples of 159

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 159 and 160

1. What is the LCM of 159 and 160?

Answer: LCM of 159 and 160 is 25440.

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 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the LCM of 159 and 160?

Answer:

Least Common Multiple of 159 and 160 = 25440

Step 1: Find the prime factorization of 159

159 = 3 x 53

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 25440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 53

Step 4: Therefore, the least common multiple of 159 and 160 is 25440.