Least Common Multiple of 162 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 162 and 169 the smallest integer that is 27378 that is divisible by both numbers.

Least Common Multiple (LCM) of 162 and 169 is 27378.

LCM(162,169) = 27378

LCM of 162 and 169

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

LCM of:
and

Least Common Multiple of 162 and 169

LCM of 162 and 169 is 27378

Least common multiple can be found by multiplying the highest exponent prime factors of 162 and 169. First we will calculate the prime factors of 162 and 169.

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 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 162 and 169.

LCM(162,169) = 21×34×132
LCM(162,169) = 27378

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 169

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

1, 13, 169

Least Common Multiple of 162 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 162 and 169, than apply into the LCM equation.

GCF(162,169) = 1
LCM(162,169) = ( 162 × 169) / 1
LCM(162,169) = 27378 / 1
LCM(162,169) = 27378

Properties of LCM 162 and 169

(i) The LCM of 169 and 162 is associative

LCM of 162 and 169 = LCM of 169 and 162

Related Least Common Multiples of 162

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 162 and 169

1. What is the LCM of 162 and 169?

Answer: LCM of 162 and 169 is 27378.

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 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 162 and 169?

Answer:

Least Common Multiple of 162 and 169 = 27378

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 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 = 27378 = 2 x 3 x 3 x 3 x 3 x 13 x 13

Step 4: Therefore, the least common multiple of 162 and 169 is 27378.