Least Common Multiple of 168 and 169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 168 and 169 the smallest integer that is 28392 that is divisible by both numbers.

Least Common Multiple (LCM) of 168 and 169 is 28392.

LCM(168,169) = 28392

LCM of 168 and 169

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

LCM of:
and

Least Common Multiple of 168 and 169

LCM of 168 and 169 is 28392

Least common multiple can be found by multiplying the highest exponent prime factors of 168 and 169. First we will calculate the prime factors of 168 and 169.

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

Prime Factorization of 169


13 169
13 13
1

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 132

Now multiplying the highest exponent prime factors to calculate the LCM of 168 and 169.

LCM(168,169) = 23×31×71×132
LCM(168,169) = 28392

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

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1, 13, 169

Least Common Multiple of 168 and 169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 168 and 169, than apply into the LCM equation.

GCF(168,169) = 1
LCM(168,169) = ( 168 × 169) / 1
LCM(168,169) = 28392 / 1
LCM(168,169) = 28392

Properties of LCM 168 and 169

(i) The LCM of 169 and 168 is associative

LCM of 168 and 169 = LCM of 169 and 168

Related Least Common Multiples of 168

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 168 and 169

1. What is the LCM of 168 and 169?

Answer: LCM of 168 and 169 is 28392.

2. 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.

3. What are the Factors of 169?

Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.

4. How to Find the LCM of 168 and 169?

Answer:

Least Common Multiple of 168 and 169 = 28392

Step 1: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 169

169 = 13 x 13

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

LCM = 28392 = 2 x 2 x 2 x 3 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 168 and 169 is 28392.