Least Common Multiple of 160 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 160 and 162 the smallest integer that is 12960 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 162 is 12960.

LCM(160,162) = 12960

LCM of 160 and 162

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

LCM of:
and

Least Common Multiple of 160 and 162

LCM of 160 and 162 is 12960

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 162. First we will calculate the prime factors of 160 and 162.

Prime Factorization of 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

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 160 and 162.

LCM(160,162) = 25×34×51
LCM(160,162) = 12960

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 160 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 160 and 162, than apply into the LCM equation.

GCF(160,162) = 2
LCM(160,162) = ( 160 × 162) / 2
LCM(160,162) = 25920 / 2
LCM(160,162) = 12960

Properties of LCM 160 and 162

(i) The LCM of 162 and 160 is associative

LCM of 160 and 162 = LCM of 162 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 162

Frequently Asked Questions on LCM of 160 and 162

1. What is the LCM of 160 and 162?

Answer: LCM of 160 and 162 is 12960.

2. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

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 160 and 162?

Answer:

Least Common Multiple of 160 and 162 = 12960

Step 1: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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 = 12960 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 4: Therefore, the least common multiple of 160 and 162 is 12960.