Least Common Multiple of 160 and 173

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 173 the smallest integer that is 27680 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 173 is 27680.

LCM(160,173) = 27680

LCM of 160 and 173

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

LCM of:
and

Least Common Multiple of 160 and 173

LCM of 160 and 173 is 27680

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 173. First we will calculate the prime factors of 160 and 173.

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 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 173.

LCM(160,173) = 25×51×1731
LCM(160,173) = 27680

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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1, 173

Least Common Multiple of 160 and 173 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 173, than apply into the LCM equation.

GCF(160,173) = 1
LCM(160,173) = ( 160 × 173) / 1
LCM(160,173) = 27680 / 1
LCM(160,173) = 27680

Properties of LCM 160 and 173

(i) The LCM of 173 and 160 is associative

LCM of 160 and 173 = LCM of 173 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 173

Frequently Asked Questions on LCM of 160 and 173

1. What is the LCM of 160 and 173?

Answer: LCM of 160 and 173 is 27680.

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 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the LCM of 160 and 173?

Answer:

Least Common Multiple of 160 and 173 = 27680

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 173

173 = 173

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

LCM = 27680 = 2 x 2 x 2 x 2 x 2 x 5 x 173

Step 4: Therefore, the least common multiple of 160 and 173 is 27680.