Least Common Multiple of 163 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 163 and 168 the smallest integer that is 27384 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 168 is 27384.

LCM(163,168) = 27384

LCM of 163 and 168

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

LCM of:
and

Least Common Multiple of 163 and 168

LCM of 163 and 168 is 27384

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 168. First we will calculate the prime factors of 163 and 168.

Prime Factorization of 163


163 163
1

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 1631

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 163 and 168.

LCM(163,168) = 23×31×71×1631
LCM(163,168) = 27384

Factors of 163

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

1, 163

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 163 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 163 and 168, than apply into the LCM equation.

GCF(163,168) = 1
LCM(163,168) = ( 163 × 168) / 1
LCM(163,168) = 27384 / 1
LCM(163,168) = 27384

Properties of LCM 163 and 168

(i) The LCM of 168 and 163 is associative

LCM of 163 and 168 = LCM of 168 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 168

Frequently Asked Questions on LCM of 163 and 168

1. What is the LCM of 163 and 168?

Answer: LCM of 163 and 168 is 27384.

2. 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.

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 163 and 168?

Answer:

Least Common Multiple of 163 and 168 = 27384

Step 1: Find the prime factorization of 163

163 = 163

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 = 27384 = 2 x 2 x 2 x 3 x 7 x 163

Step 4: Therefore, the least common multiple of 163 and 168 is 27384.