Least Common Multiple of 158 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 158 and 163 the smallest integer that is 25754 that is divisible by both numbers.

Least Common Multiple (LCM) of 158 and 163 is 25754.

LCM(158,163) = 25754

LCM of 158 and 163

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

LCM of:
and

Least Common Multiple of 158 and 163

LCM of 158 and 163 is 25754

Least common multiple can be found by multiplying the highest exponent prime factors of 158 and 163. First we will calculate the prime factors of 158 and 163.

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 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 158 and 163.

LCM(158,163) = 21×791×1631
LCM(158,163) = 25754

Factors of 158

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

1, 2, 79, 158

Factors of 163

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

1, 163

Least Common Multiple of 158 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 158 and 163, than apply into the LCM equation.

GCF(158,163) = 1
LCM(158,163) = ( 158 × 163) / 1
LCM(158,163) = 25754 / 1
LCM(158,163) = 25754

Properties of LCM 158 and 163

(i) The LCM of 163 and 158 is associative

LCM of 158 and 163 = LCM of 163 and 158

Related Least Common Multiples of 158

Related Least Common Multiples of 163

Frequently Asked Questions on LCM of 158 and 163

1. What is the LCM of 158 and 163?

Answer: LCM of 158 and 163 is 25754.

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 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 158 and 163?

Answer:

Least Common Multiple of 158 and 163 = 25754

Step 1: Find the prime factorization of 158

158 = 2 x 79

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 = 25754 = 2 x 79 x 163

Step 4: Therefore, the least common multiple of 158 and 163 is 25754.