Least Common Multiple of 160 and 161

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 161 the smallest integer that is 25760 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 161 is 25760.

LCM(160,161) = 25760

LCM of 160 and 161

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

LCM of:
and

Least Common Multiple of 160 and 161

LCM of 160 and 161 is 25760

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 161. First we will calculate the prime factors of 160 and 161.

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 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 161.

LCM(160,161) = 25×51×71×231
LCM(160,161) = 25760

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 161

List of positive integer factors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Least Common Multiple of 160 and 161 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 161, than apply into the LCM equation.

GCF(160,161) = 1
LCM(160,161) = ( 160 × 161) / 1
LCM(160,161) = 25760 / 1
LCM(160,161) = 25760

Properties of LCM 160 and 161

(i) The LCM of 161 and 160 is associative

LCM of 160 and 161 = LCM of 161 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 161

Frequently Asked Questions on LCM of 160 and 161

1. What is the LCM of 160 and 161?

Answer: LCM of 160 and 161 is 25760.

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 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

4. How to Find the LCM of 160 and 161?

Answer:

Least Common Multiple of 160 and 161 = 25760

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 161

161 = 7 x 23

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

LCM = 25760 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 160 and 161 is 25760.