Least Common Multiple of 158 and 162

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 162 the smallest integer that is 12798 that is divisible by both numbers.

Least Common Multiple (LCM) of 158 and 162 is 12798.

LCM(158,162) = 12798

LCM of 158 and 162

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

LCM of:
and

Least Common Multiple of 158 and 162

LCM of 158 and 162 is 12798

Least common multiple can be found by multiplying the highest exponent prime factors of 158 and 162. First we will calculate the prime factors of 158 and 162.

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 162


2 162
3 81
3 27
3 9
3 3
1

Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:

162 = 21×34

Now multiplying the highest exponent prime factors to calculate the LCM of 158 and 162.

LCM(158,162) = 21×34×791
LCM(158,162) = 12798

Factors of 158

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

1, 2, 79, 158

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Least Common Multiple of 158 and 162 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 162, than apply into the LCM equation.

GCF(158,162) = 2
LCM(158,162) = ( 158 × 162) / 2
LCM(158,162) = 25596 / 2
LCM(158,162) = 12798

Properties of LCM 158 and 162

(i) The LCM of 162 and 158 is associative

LCM of 158 and 162 = LCM of 162 and 158

Related Least Common Multiples of 158

Related Least Common Multiples of 162

Frequently Asked Questions on LCM of 158 and 162

1. What is the LCM of 158 and 162?

Answer: LCM of 158 and 162 is 12798.

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 162?

Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

4. How to Find the LCM of 158 and 162?

Answer:

Least Common Multiple of 158 and 162 = 12798

Step 1: Find the prime factorization of 158

158 = 2 x 79

Step 2: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

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

LCM = 12798 = 2 x 3 x 3 x 3 x 3 x 79

Step 4: Therefore, the least common multiple of 158 and 162 is 12798.