Least Common Multiple of 160 and 170

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 170 the smallest integer that is 2720 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 170 is 2720.

LCM(160,170) = 2720

LCM of 160 and 170

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

LCM of:
and

Least Common Multiple of 160 and 170

LCM of 160 and 170 is 2720

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 170. First we will calculate the prime factors of 160 and 170.

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 170


2 170
5 85
17 17
1

Prime factors of 170 are 2, 5,17. Prime factorization of 170 in exponential form is:

170 = 21×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 170.

LCM(160,170) = 25×51×171
LCM(160,170) = 2720

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 170

List of positive integer factors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Least Common Multiple of 160 and 170 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 170, than apply into the LCM equation.

GCF(160,170) = 10
LCM(160,170) = ( 160 × 170) / 10
LCM(160,170) = 27200 / 10
LCM(160,170) = 2720

Properties of LCM 160 and 170

(i) The LCM of 170 and 160 is associative

LCM of 160 and 170 = LCM of 170 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 170

Frequently Asked Questions on LCM of 160 and 170

1. What is the LCM of 160 and 170?

Answer: LCM of 160 and 170 is 2720.

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 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

4. How to Find the LCM of 160 and 170?

Answer:

Least Common Multiple of 160 and 170 = 2720

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 170

170 = 2 x 5 x 17

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

LCM = 2720 = 2 x 2 x 2 x 2 x 2 x 5 x 17

Step 4: Therefore, the least common multiple of 160 and 170 is 2720.