Least Common Multiple of 162 and 168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 162 and 168 the smallest integer that is 4536 that is divisible by both numbers.

Least Common Multiple (LCM) of 162 and 168 is 4536.

LCM(162,168) = 4536

LCM of 162 and 168

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

LCM of:
and

Least Common Multiple of 162 and 168

LCM of 162 and 168 is 4536

Least common multiple can be found by multiplying the highest exponent prime factors of 162 and 168. First we will calculate the prime factors of 162 and 168.

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

Prime Factorization of 168


2 168
2 84
2 42
3 21
7 7
1

Prime factors of 168 are 2, 3,7. Prime factorization of 168 in exponential form is:

168 = 23×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 162 and 168.

LCM(162,168) = 23×34×71
LCM(162,168) = 4536

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

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Least Common Multiple of 162 and 168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 162 and 168, than apply into the LCM equation.

GCF(162,168) = 6
LCM(162,168) = ( 162 × 168) / 6
LCM(162,168) = 27216 / 6
LCM(162,168) = 4536

Properties of LCM 162 and 168

(i) The LCM of 168 and 162 is associative

LCM of 162 and 168 = LCM of 168 and 162

Related Least Common Multiples of 162

Related Least Common Multiples of 168

Frequently Asked Questions on LCM of 162 and 168

1. What is the LCM of 162 and 168?

Answer: LCM of 162 and 168 is 4536.

2. 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.

3. What are the Factors of 168?

Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.

4. How to Find the LCM of 162 and 168?

Answer:

Least Common Multiple of 162 and 168 = 4536

Step 1: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

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

LCM = 4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

Step 4: Therefore, the least common multiple of 162 and 168 is 4536.