Least Common Multiple of 160 and 165

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 165 the smallest integer that is 5280 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 165 is 5280.

LCM(160,165) = 5280

LCM of 160 and 165

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

LCM of:
and

Least Common Multiple of 160 and 165

LCM of 160 and 165 is 5280

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 165. First we will calculate the prime factors of 160 and 165.

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 165


3 165
5 55
11 11
1

Prime factors of 165 are 3, 5,11. Prime factorization of 165 in exponential form is:

165 = 31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 165.

LCM(160,165) = 25×31×51×111
LCM(160,165) = 5280

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 165

List of positive integer factors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Least Common Multiple of 160 and 165 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 165, than apply into the LCM equation.

GCF(160,165) = 5
LCM(160,165) = ( 160 × 165) / 5
LCM(160,165) = 26400 / 5
LCM(160,165) = 5280

Properties of LCM 160 and 165

(i) The LCM of 165 and 160 is associative

LCM of 160 and 165 = LCM of 165 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 165

Frequently Asked Questions on LCM of 160 and 165

1. What is the LCM of 160 and 165?

Answer: LCM of 160 and 165 is 5280.

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 165?

Answer: Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165. There are 8 integers that are factors of 165. The greatest factor of 165 is 165.

4. How to Find the LCM of 160 and 165?

Answer:

Least Common Multiple of 160 and 165 = 5280

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 165

165 = 3 x 5 x 11

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

LCM = 5280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 160 and 165 is 5280.