Least Common Multiple of 158 and 159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 158 and 159 the smallest integer that is 25122 that is divisible by both numbers.

Least Common Multiple (LCM) of 158 and 159 is 25122.

LCM(158,159) = 25122

LCM of 158 and 159

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

LCM of:
and

Least Common Multiple of 158 and 159

LCM of 158 and 159 is 25122

Least common multiple can be found by multiplying the highest exponent prime factors of 158 and 159. First we will calculate the prime factors of 158 and 159.

Prime Factorization of 158


2 158
79 79
1

Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:

158 = 21×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 158 and 159.

LCM(158,159) = 21×31×531×791
LCM(158,159) = 25122

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Factors of 159

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

1, 3, 53, 159

Least Common Multiple of 158 and 159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 158 and 159, than apply into the LCM equation.

GCF(158,159) = 1
LCM(158,159) = ( 158 × 159) / 1
LCM(158,159) = 25122 / 1
LCM(158,159) = 25122

Properties of LCM 158 and 159

(i) The LCM of 159 and 158 is associative

LCM of 158 and 159 = LCM of 159 and 158

Related Least Common Multiples of 158

Related Least Common Multiples of 159

Frequently Asked Questions on LCM of 158 and 159

1. What is the LCM of 158 and 159?

Answer: LCM of 158 and 159 is 25122.

2. What are the Factors of 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

3. 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.

4. How to Find the LCM of 158 and 159?

Answer:

Least Common Multiple of 158 and 159 = 25122

Step 1: Find the prime factorization of 158

158 = 2 x 79

Step 2: Find the prime factorization of 159

159 = 3 x 53

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

LCM = 25122 = 2 x 3 x 53 x 79

Step 4: Therefore, the least common multiple of 158 and 159 is 25122.