Least Common Multiple of 163 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 163 and 164 the smallest integer that is 26732 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 164 is 26732.

LCM(163,164) = 26732

LCM of 163 and 164

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

LCM of:
and

Least Common Multiple of 163 and 164

LCM of 163 and 164 is 26732

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 164. First we will calculate the prime factors of 163 and 164.

Prime Factorization of 163


163 163
1

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 1631

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 163 and 164.

LCM(163,164) = 22×411×1631
LCM(163,164) = 26732

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1, 163

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 163 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 163 and 164, than apply into the LCM equation.

GCF(163,164) = 1
LCM(163,164) = ( 163 × 164) / 1
LCM(163,164) = 26732 / 1
LCM(163,164) = 26732

Properties of LCM 163 and 164

(i) The LCM of 164 and 163 is associative

LCM of 163 and 164 = LCM of 164 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 164

Frequently Asked Questions on LCM of 163 and 164

1. What is the LCM of 163 and 164?

Answer: LCM of 163 and 164 is 26732.

2. What are the Factors of 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

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 163 and 164?

Answer:

Least Common Multiple of 163 and 164 = 26732

Step 1: Find the prime factorization of 163

163 = 163

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 = 26732 = 2 x 2 x 41 x 163

Step 4: Therefore, the least common multiple of 163 and 164 is 26732.