Least Common Multiple of 163 and 169

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 169 the smallest integer that is 27547 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 169 is 27547.

LCM(163,169) = 27547

LCM of 163 and 169

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

LCM of:
and

Least Common Multiple of 163 and 169

LCM of 163 and 169 is 27547

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 169. First we will calculate the prime factors of 163 and 169.

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 169


13 169
13 13
1

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 132

Now multiplying the highest exponent prime factors to calculate the LCM of 163 and 169.

LCM(163,169) = 132×1631
LCM(163,169) = 27547

Factors of 163

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

1, 163

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1, 13, 169

Least Common Multiple of 163 and 169 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 169, than apply into the LCM equation.

GCF(163,169) = 1
LCM(163,169) = ( 163 × 169) / 1
LCM(163,169) = 27547 / 1
LCM(163,169) = 27547

Properties of LCM 163 and 169

(i) The LCM of 169 and 163 is associative

LCM of 163 and 169 = LCM of 169 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 163 and 169

1. What is the LCM of 163 and 169?

Answer: LCM of 163 and 169 is 27547.

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 169?

Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.

4. How to Find the LCM of 163 and 169?

Answer:

Least Common Multiple of 163 and 169 = 27547

Step 1: Find the prime factorization of 163

163 = 163

Step 2: Find the prime factorization of 169

169 = 13 x 13

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

LCM = 27547 = 13 x 13 x 163

Step 4: Therefore, the least common multiple of 163 and 169 is 27547.