Least Common Multiple of 160 and 164

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 164 the smallest integer that is 6560 that is divisible by both numbers.

Least Common Multiple (LCM) of 160 and 164 is 6560.

LCM(160,164) = 6560

LCM of 160 and 164

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

LCM of:
and

Least Common Multiple of 160 and 164

LCM of 160 and 164 is 6560

Least common multiple can be found by multiplying the highest exponent prime factors of 160 and 164. First we will calculate the prime factors of 160 and 164.

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 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

Now multiplying the highest exponent prime factors to calculate the LCM of 160 and 164.

LCM(160,164) = 25×51×411
LCM(160,164) = 6560

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 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Least Common Multiple of 160 and 164 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 164, than apply into the LCM equation.

GCF(160,164) = 4
LCM(160,164) = ( 160 × 164) / 4
LCM(160,164) = 26240 / 4
LCM(160,164) = 6560

Properties of LCM 160 and 164

(i) The LCM of 164 and 160 is associative

LCM of 160 and 164 = LCM of 164 and 160

Related Least Common Multiples of 160

Related Least Common Multiples of 164

Frequently Asked Questions on LCM of 160 and 164

1. What is the LCM of 160 and 164?

Answer: LCM of 160 and 164 is 6560.

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 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

4. How to Find the LCM of 160 and 164?

Answer:

Least Common Multiple of 160 and 164 = 6560

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 164

164 = 2 x 2 x 41

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

LCM = 6560 = 2 x 2 x 2 x 2 x 2 x 5 x 41

Step 4: Therefore, the least common multiple of 160 and 164 is 6560.